1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.

Answers

Answer 1

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. [tex]m = -\frac{23350}{13}[/tex]

c. [tex]y = -\frac{23350}{13}x + 23350[/tex]

Step-by-step explanation:

Given

[tex]Years = 13[/tex]

[tex]Total\ depreciation = \$23350[/tex]

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

[tex]m = \frac{23350}{13}[/tex]

Because it is depreciation, it means the slope represents a deduction.

So,

[tex]m = -\frac{23350}{13}[/tex]

Solving (c): The straight line equation

The general format of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

In (a), we have that:

[tex]y\ intercept = 23350[/tex]

In (b), we have that:

[tex]Slope\ (m) = -\frac{23350}{13}[/tex]

Substitute these values in [tex]y = mx + b[/tex]

[tex]y = -\frac{23350}{13}x + 23350[/tex]

Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]


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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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hope this helps

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10. If five times a number plus two is 17, what is the number?
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Hey buddy, here is your answer. Hope it helps you

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