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Zachary purchased a new car for $29,995. The value of the car linearly depreciated to $9,300 over 10 years. Write a linear equation to represent the value y of Zachary's car (in dollars) after x years since its purchase.

Sagot :

69364

Answer:

Step-by-step explanation:

y=-1,869.5x+27,995

Step-by-step explanation:

Let

x-----> the time in years

y----> value of Zachary’s car in dollars

A(0,27,995), B(10,9,300)

step 1

Calculate the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{9,300-27,995}{10-0}=-1,869.50

step 2

Find the equation of the line

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1,869.50

b=27,995  -----> the y-intercept is the point A

substitute

y=-1,869.5x+27,995

hope this helps have a good day

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