Question

Exponential Growth/Decay Function

Answer 1

(a) Write a function that represents the value and (in dollars) of the car after x years.
 For this case what we should do is write the equation of exponential type.
 We have then:
 y = A (b) ^ x
 Substituting the values:
 y = 21500 (0.88) ^ x
 Answer:
 y = 21500 (0.88) ^ x

 (b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)
 We use the function found in part (a) and evaluate for x = 6.
 We have then:
 y = 21500 (0.88) ^ 6
 y = 9985 $
 Answer: 
 the value of the car after 6 years is: 
 y = 9985 $