A jeepney ride cost 11 pesos for the first 4 kilometers and each additional integer kilometers adds 3.50 pesos to the fare, use a piece-wise function to represent the jeepney fare in terms of the distance f(d) in kilometers.

Answers

Answer 1

Answer:

[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for} & 0< d\leq 4 \\-3+3.5d & \text{for}& d > 4 \end[/tex]

Step-by-step explanation:

Cost of first 4 kilometers ride = 11 pesos.

So, for the first 4 km, the fair is constant i.e.

for 1 km the fare is 11 pesos,

for 2 km the fair is also 11 pesos,

similarly, for 3 km of 4 km, the fare is 11 pesos.

Hence, for the distance [tex]0\geq d\geq 4[/tex], the fair function,

[tex]f(d)=11\cdots(i)[/tex]

After 4 km, there is an increment of $ 3.50 for each kilometer.

So, the fare function up to 5 kilometers,

[tex]f(d)=11+3.5=14.5[/tex]

So, the fare function up to 6 kilometers, i.e for the distance [tex]5<d\leq6[/tex],

[tex]f(d)=11+2\times3.5=18[/tex]

This can be arranged as the fare function up to 6 km,

[tex]f(d)=11+(6-4)\times3.5=18[/tex]

Similarly, the fare function up to [tex]d[/tex] kilometer [tex](n>4)[/tex],

[tex]f(d)=11+(d-4)\times3.5[/tex]

[tex]\Rightarrrow f(d)=-3+3.5d\cdots(ii)[/tex]

Hence, from equations (i) and (ii),

[tex]f(d)=\left\{ \begin{matrix} 11 & \text{for}\; 0< d \leq 4 \\-3+3.5d & \text{for}\; d > 4 \end[/tex]


Related Questions

PLEASE HELP

Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.


Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.

Answers

Answer:

Use a^2 + b^2 = c^2 and substitute

18^2 + 24^2 = c^2

Solve what we know

324 + 576 = c^2

324 + 576 = 900

Square root 900 to get C

sqrt of 900 equals 30

So, yes he can fit the baseball bat in his suitcase

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx

Answers

We need to find the integration of (36x²)x.dx .

We know,

[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]

Now,

[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]

Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .

Hence, this is the required solution.

I need help ASAP please

Answers

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

-1 + 7 =-8

Step-by-step explanation:

Answer:

-6, -7

Step-by-step explanation:

-1 + -6 = -7

10times larger than 40

Answers

Answer:400

Step-by-step explanation:10×40=400

Answer:400

Step-by-step explanation:

If you multiply a matrix and its inverse together, you will always get the identity
matrix.
True
False

Answers

Answer:

True

Step-by-step explanation:

If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I. And the point of the identity matrix is that IX = X for any matrix X (meaning "any matrix of the correct size", of course).

Answer:

Yes

Step-by-step explanation: And 1 is the identity, so called because 1x = x for any number x. It works the same way for matrices. If you multiply a matrix (such as A) and its inverse (in this case, A–1), you get the identity matrix I.

priya changed the rate at which flowed through the faucet. write an equation that represents the relationship w of t and when it takes 3 minutes to fill the cooler with 1 gallon of water. Which of the following equations represent the relationship between w and t? select all that apply.

Answers

Answer:

i love you sm

Step-by-step explanation:

A 2 1/2 pound bag of grass seed covers 1/8 of an acre. How much grass seed is needed for 1 acre?

Answers

Answer:

it needs 234 grass seeds for the acre

Name an equivalent ratio for One-half with a denominator of 8.
a. 4 Over 8
c. 5 Over 8
b. 1 Over 8
d. 3 Over 8

Answers

Answer:

it is A

Step-by-step explanation:

Evaluate 2x+6y when x= -4/5 and y= 1/3 Write your answer as a fraction or mixed number in simplest form.

Answers

2/5 is a answer

in this we can se the answer is 2/5

Spencer is 10 years old. His age is two years less than three times his sister's age. How old is Spencer's sister?

Answers

so she is 24
10-2= 8
8 x 3= 24

The age of Spencer's sister is 4 years old.

What is an Equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.

Let the age of Spencer's sister be x

According to the question,

3x - 2 = 10

3x = 10 +2

3x = 12

x = 12/3

x = 4

Hence, The age of Spencer's sister is 4 years old.

For more references on an Equation, click;

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Use the multiplier method to increase £72 by 12%
You must show your working.

Answers

Answer:

£80.62

Step-by-step explanation:

100+12%=112%

112/100= 1.12

1.12*£72 =£80.62

Match the number with its opposite.

Match Term Definition
9.2 A) 2.9
−2.9 B) −9.2
−1.4 C) −4.1
4.1 D) 1.4

Answers

9.2 - B
-2.9 - A
-1.4 - D
4.1 - C

Explanation: the opposite of a number is the same number with the sign flipped

Answer:

9.2 - B

-2.9 - A

-1.4 - D

4.1 - C

Step-by-step explanation:hope this helps

A food truck sells tacos $1.25 a piece. The truck operator earned $360.00 last night.
How many tacos did the food truck sell last night?
28.8 tacos
288 tacos
300 tacos
2.88 tacos

Answers

Answer:

288

Step-by-step explanation:

Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.

Step 1

1.25 x = 360

x =is the amount of tacos sold.

Step 2

1.25 x = 360

/1.25      /1.25

to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.

Step 3

x = 288

we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer  the amount of tacos sold=288

i hope this helps ;)

A, B, C, or D???? Please help! Thank you!

Answers

Answer:

Step-by-step explanation:

either the c or d

You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes.About how long should it take you to get all of the pictures

Answers

Answer:

2h and 26 minutes

Step-by-step explanation:

21x2=42

42x3=126

2x10=20

126+20=146

146m=2h 26m

Find the solution to the equation.

4(x + 7) = 38 i need it ASAP plzzz

Answers

Answer:

x = 2.5

or

x = 1/4

Step-by-step explanation:

watch the following steps:

4x + 28 = 38

4x = 38 - 28

4x = 10

x = 2.5

or

x = 1/4

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

2.5, maybe

Step-by-step explanation:

distribute 4 into x and 7

subtract 28 from both sides (28-28, 38-28)

divide 4 and 10

2.5

it seems odd...

match the simplified expressions to an equivalent expression

Answers

sorry, kinda messy. But hope this helps

2.
Fifty people who watch television were recently
polled as to which type of program they preferred.
The results are shown in the table.
Television Survey
Type of Show Number
who watch
comedy
16
documentary 9
drama
12
musical
8
news
5
What percent of those surveyed preferred to watch
comedy shows?

Answers

Answer:

39.02%

or

39%

Step-by-step explanation:

1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?

Answers

Answer:

512

Step-by-step explanation

128 ounces in a gallon times that by 4. ====== ....... 512.

Ur welcome please heart this

512 ounces would be correct

Lex be a random variable that represents the pH of arterial plasma (le, acidity of the blood). For healthy adults, the mean of the distribution is - 7.4.1 A new drug for arthritis has
been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with
sample standard deviations - 2.7. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood.
USE SALT
(a) what is the level of significance?

what is the value of the sample test sisse? (Round your answer to three decimal places)

Answers

Answer:

2.304

Step-by-step explanation:

3 + 8 + 6 + 6 + 6 = 58 + 6
How do we solve this

Answers

Answer:

93

Step-by-step explanation:

For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life.

When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?

Answers

Answer:

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

Step-by-step explanation:

A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?

Answers

Answer:

14.385 ounces

Step-by-step explanation:

Converting grams to ounces:

1g ----- 0.035 ounces

411g ----- ?

Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.

411g

= 0.035(411) ounces

= 14.385 ounces

Thus, the can contains 14.385 ounces of fruit.

W/4 -4=3

Solve the eqution pls!

Answers

Answer:

W=28

Step-by-step explanation:

(W/4)-4=3

(W/4)=7

W=28

W=28 is the answer ........

Find the surface area of a triangular prism that has a height of 11 meters and the following triangular base. All
dimensions are in meters.
13.5
4
surface area =
m?

Answers

Answer:

3 is your answer took the test

Step-by-step explanation:

Answer:

S A = 146 m^2

Step-by-step explanation:

Taylor is driving on the freeway at 55 miles per hour. What question finds her distance

Answers

Answer:

distance(miles) = number of hours driven * 55

Step-by-step explanation:

Add and subtract the rational expressions.

Which statements are true about the process for adding and subtracting the rational expressions? Check all that apply. The expression is not defined when t = 0. The first step is to use the order of operations and simplify the expression inside the parentheses. The denominator will be simplified to 15t. The numerator will be simplified to 13t 8. The numerator will be simplified to 13t 2

Answers

Answer:

The numerator will simplified to 13t-2

Step-by-step explanation:

After you write the numerators with the common denominator, you collect like terms and then calculate.

Answer:

A , B , E

Step-by-step explanation:

Correct on edge 2021. Just did the assignment.

Have a good day <3

To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box? PLSSSSS HELLPPP

Answers

Answer:

4 goes in the box

Step-by-step explanation:

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let the value inside the box be 'y'. Then the equation is given as,

4x − 2 + y(2x + 4) = 2(6x + 7)

Simplify the equation, then we have

4x − 2 + y(2x + 4) = 2(6x + 7)

4x − 2 + y(2x + 4) = 12x + 14

y(2x + 4) = 8x + 16

y = 4(2x + 4) / (2x + 4)

y = 4

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

More about the solution of the equation link is given below.

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q(x) = –2x+1
r.(x)=x²+2
Find the value of q (r (3)).

Answers

-21

r(3) = 3^2 + 2
= 11
q(11) = -2(11) + 1
= -22 + 1
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