Exponential growth/decay function the value of a car is $21,500. it loses 12% of its value every year. (a) write a function that represents the value y (in dollars) of the car after x years. (b) use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

(a)          21500(0.88) ᣔx

          y = A(1-r) ᣔx 

         = 21500 (1-0.12) ᣔx  

         = 21500(0.88) ᣔx

   (b)    $9,985

        21500(0.88) ᣔ6 = 9985

·      0.88ᣔ6 = 0.46440408

·      21500 *  0.46440408 = 9984.68 -> 9985                 

By Pythagorous theorem

( hyp)2 = ( base)2 + ( perp)2

( base)2 = ( hyp)2 - ( perp)2

( base)2 = (20)2 - (12)2

= 400 - 144

( base)2 = 256

Base = 16 ft

Step-by-step explanation: