A car was purchased at a price of $25,000. During the next 20 years, the car's value, V(x), decreased according to the e

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A Car Was Purchased At A Price Of 25 000 During The Next 20 Years The Car S Value V X Decreased According To The E 1 (36.3 KiB) Viewed 30 times

A car was purchased at a price of $25,000. During the next 20 years, the car's value, V(x), decreased according to the equation: 22,000 V(x)= +3000, where x represents the time (in years) since the purchase. 0.5x+1 For the next two years the car's value remained constant, and then, being considered a collector's item, its value began to increase linearly so that 30 years after it's purchase it was worth 20,000$. a. Write the equation of V(x), the car's value in $, x years after its purchase, for the domain: 0<x< 30. b. Is the rate of change of the car's value increasing or decreasing during the first 20 years? c. Find V'(x) in the interval 22<x< 30 and explain the meaning of the result.