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The minute you drive a car off the dealership lot, its value starts to depreciate. Sydney boughta new car for $15,000. After 3 years, it was worth $13,362 and after 8 years it was worth$10,632. Write an equation, with y representing the car value and x the number of years, toshow this scenario.



Answer :

Let

x -----> number of years

y ----> the car value

we have the ordered pairs

(3,13,362) and (8,10,632)

Find out the slope

m=(10,632-13,362)/(8-3)

m=-$546 per year ------> is negative because is a decreasing function

Find out the linear equation

y=mx+b

we have

m=-546

b=$15,000 -----> initial value

therefore

y=-546x+15,000

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