Summer Earnings
Hours worked Earnings in dollars
3
4
48
6
72
10
120
20
240
Which statements are true about the data in this table? Select all that apply.
The rate of change for the data is $12 per hour. $12 is also the constant of proportionality
If you graph the data, it would pass through the origin (0,0)
The data represent a direct variation and can be modeled by the function rule y = 12.
The data indicate a rate that is not constant
The rate of change for the data is $24 per hour. The data representa direct variation and can be modeled by the function ruley-242

Answers

Answer 1

The table is an illustration of a proportional relationship. and can be modeled by the function rule y = 12x

The entries of the table is given as:

Hours    Earnings

4               48

6               72

10              120

20             240

Start by calculating the rate (m) of the function

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{72 - 48}{6-4}[/tex]

[tex]m = \frac{24}{2}[/tex]

[tex]m = 12[/tex]

The equation of the table is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 12(x - 4) + 48[/tex]

[tex]y = 12x - 48 + 48[/tex]

[tex]y = 12x[/tex]

[tex]y = 12x[/tex] means that, the following statements are true:

The rate of change for the data is $12 per hour. $12 is also the constant of proportionalityIf you graph the data, it would pass through the origin (0,0) The data represent a direct variation and can be modeled by the function rule y = 12x

Read more about proportional equations at:

https://brainly.com/question/14108707


Related Questions

tim borrowed $7,000 at 8% interest rate for 5 years what was the total interest ​

Answers

10,285.2965376 (this is for annual)
10,285296537 omg that was so hard gosh

Please help me with this.

Answers

Answer:

a) 7 b) -5

Step-by-step explanation:

m=Y-y

X-x

a) (70-35)/(10-5)= 7

m= 7

b) (50--20)/(-10-4)= 70/-14 = -5

Parallelogram TUVW is graphed on a coordinate plane with vertices at T (3, 4), V (-10,-2), V(-6,5),
and
W (7,11). Parallelogram TUVW Is dilated by a scale factor p with the origin as the center of dilation to
create parallelogram T'U'V'W'. Which ordered pair represents the coordinates of the dilated vertex V'?
G (-6 + P, 5+ p)
(-6p, Sp)

Answers

The coordinates of the dilated vertex V' is (-6p, 5p)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

The Parallelogram TUVW has vertices at T(3, 4), U(-10,-2), V(-6,5) and  W (7,11). If it is dilated by a scale factor p with the origin, the new point is at:

T'(3p, 4p), U'(-10p, -2p), V'(-6p, 5p) and W'(7p, 11p)

Find out more on dilation at:https://brainly.com/question/10253650

can y’all please help me

Answers

Answer:

15. d(1,3) e(4,4) g(1,-1) f(4,-2)

16. e(2,-1) f(4,-1) g(2,-3) h(4,-5)

Step-by-step explanation:

These are the coordinates to each point (x,y)

I hope this helps!!

jjjjjhfvkicdcghgfc ghcvh,glv,kghc ,h..

Answers

Answer:

0

Step-by-step explanation:

What is the least multiple 6 and 8 have in commen explain

Answers

the answer is the number 2 because they can both be divided by 2 but not any other number besides 1

the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60

What is the range of y = sin x?
A. In
72 T
o
B. -1Sys1
c. -1SIS 1
o
D. All real numbers

Answers

Answer:

See below

Step-by-step explanation:

The function [tex]f(x)=sin(x)[/tex] oscillates between -1 and 1, so the range is [tex]-1\leq x\leq 1[/tex].

1. Find the volume of the rectangular prism that has a height of 5 meters and the area of the base is 8m2.​

Answers

Answer:

40m3

Step-by-step explanation:

Multiply the area x the height

Step-by-step explanation:

the volume of a prism or simply "box" is base area × height.

so, we have

8 × 5 = 40 m³

What is 40÷1/2 please help me

Answers

Answer: Pretty sure it's 80

Step-by-step explanation:

80.
Explanation: when dividing by fractions here’s what I do. Instead of having a divide sign change it to a multiplication sign. Next flip your numerator and denominator of your fraction. In this case instead of 1/2 switch it to 2/1. You don’t see it but 40 is also 40/1. So multiply across aka numerator times numerator and denominator time denominator. 40 times 2 and 1 times 1. You’re left with 80/1 aka 80.

NO LINKS!!!

Purchasing a TV that is 30% off will save $250.
a. What is the part, percent, and whole.
b. What is the original price of the TV?

Answers

Answer:

  a. part: $250; percent: 30%; whole: $833.33

  b. $833.33

Step-by-step explanation:

a. The part is given as $250; the percentage that represents is given as 30%.

The whole is the ratio of the part to the percent:

  $250/30% = $250/0.30 = $833.33 . . . whole

__

b. The original price is the "whole" of which 30% is the part.

  original price: $833.33

Round 67 to the nearest hundred. Enter your answer in the box below.

Answers

there is no hundred in 67 so that’s means 67 rounded to the nearest hundred is 100

What is the relationship between vertices and edges in a pyramid? In a prism?

Answers

Answer: depends on the shape of it but mostly equal

Step-by-step explanation: hope it helps

Solve using substitution.
X = 1
6x + y = 1

please help

Answers

Answer:   (1,-5)

In other words, x = 1 and y = -5

=====================================================

Work Shown:

6x + y = 1

6(1) + y = 1

6 + y = 1

y = 1-6

y = -5

The solution as an ordered pair is (1,-5)

Notice I started with the second equation and substituted in the first equation. The idea is to somehow reduce the two variables into one variable, so you can solve for that remaining variable.

Answer:

6x+y=1

or,6×1+y=1

or,6+y=1

or,y=6-1

ans,y=5

Write an equation in point-stope form for the line through the given point with the given slope.

Answers

Answer:

y-3=6(x-8)

Step-by-step explanation:

given that the slope is 6 and the line passes through (8,3), we can use the formula y-y1=m(x-x1), where (x1, y1) is the ordered pair and m is the slope. we can plug the given values in from there. m=6, x1=8, and y1=3. hope this helps!

Is (x + 2) a factor of f(x) = x3 - 7x2 + 2X – 8? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

[tex]\text{Given that,}\\\\f(x) = x^3 -7x^2 +2x -8\\\\\\\text{(x+2) will be a factor of f(x) if } f(-2) = 0 \\\\\\f(-2) = (-2)^3 -7(-2)^2 +2(-2) -8 = -48 \\\\\\\text{Since}~ f(-2) \neq 0, ~ (x +2) \text{is not a factor of f(x).}[/tex]

Help help math I’ll give points thanks

Answers

the answer is x = 13

Answer:

x=13

Step-by-step explanation:

8x-20=4x+32

start by moving the terms,

8x-4x=32+20

combine

4x=52

divide each side by 4

x=13

Carson bought 50 pounds of rice for his restaurant. He cooked the rice and wanted to evenly divide it into 9 containers to be served later. How many pounds of rice should Carson put in each container?

help plss

Answers

Answer:

Step-by-step explanation: there you go

Alana deposited $20 in a savings account earning 5% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?
Submit

Answers

Answer:

Step-by-step explanation:

y = $20(1.05)² = $22.05

Can someone help me with these 2 geometry questions?? Will mark brainiest :)

Answers

Answer:

Thats to hard Do it your self

slope y-intercept form of an equation for a line that has an x-intercept of "-3" and goes through (-2,2)

Answers

Answer:

y=2x+6.

Step-by-step explanation:

1) the condition 'an x-intercept of "-3"' means the point A with the coordinates (-3;0), then it is possible to make up the required equation according to the rule (the coordinates (-2;2) belong to the point B):

[tex]2) \ \frac{x-X_B}{X_A-X_B}=\frac{y-Y_B}{Y_A-Y_B}, \ where \ X_A=-2;Y_A=2;X_B=-3;Y_B=0.[/tex]

after the substitution the coordinates into the rule:

[tex]\frac{x+3}{-2+3} =\frac{y-0}{2-0}; \ => \ \frac{x+3}{1}=\frac{y}{2}; \ => \ y=2x+6.[/tex]

Find the least common denominator for these fractions. Enter your answer in
the space provided.

Answers

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.

1*3/4*3 = 3/12

Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

1*2/6*2= 2/12

However, we have two new fractions with same denominator now, that is 3/12 and 2/12

We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)

5/12

Can someone help me plssssssssss

Answers

I think the answer is C.

It’s saying is 5 times the original number. 200/5=40

Given that
P
=
x

y
.
Find
P
when:
x
=
15
and
y
=
20

Answers

Answer:

the answer would be -5

Step-by-step explanation:

p=15-20 p=-5

Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}


−4x+3y=−2
y=x−1

Answers

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

-4x+3(x-1)=-2
-4x+3x-3=-2
-4x+3x=-2+3
-x=1
x=-1

y=-1-1
y=-2

(x,y)
(-1, -2)

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Answers

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

Find the slope of the line that contains the following ordered pairs (4,2) (7,6.5)

Answers

Answer:

4.5/3 or 1.5

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(6.5-2)/7-4)=4.5/3... you can further simplify to 1.5.

Could somebody please explain this to me?​

Answers

Answer: call 911

Step-by-step explanation: call 911

How many lb. of burgers did Mrs. Butterfield make? ​

Answers

Answer:

4 burgers

Step-by-step explanation:

four burgers

If you're making the patties yourself (to save money or because you love making burgers), assume four burgers per pound of meat

Write an equation of the line with a slope of -2 and y-intercept of 3

Answers

Answer:

y = -2x + 3

Step-by-step explanation:

the original formula is

y = mx + b

m is the slope

b is the inteception on the y axis

Shawn wants to save up for a birthday outfit. He figures he can save $25 each week from the money earns cutting hair. If he plans to spend less than $175 for the outfit, how many weeks will it take him save enough money to buy any outfit in his price range?

Answers

Answer:

7 weeks

Step-by-step explanation:

175 divided by 25 is 7

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