Question

Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. When he trades the car in after x years, the car is worth no more than $1,900. Fill in the values of a, b, and c to complete the exponential inequality of the form a(b)x ≤ c that can be used to determine the number of years after which the car is worth no more than $1,900. use a(b)^x,=c

Answer 1

What you must do in this case is to use the potential type function given in the problem:
 a (b) ^ x = c
 We have:
 new car for $ 17,930
 a = 17930
 The value of the car depreciated by 19% per year
 b = 1-0.19 = 0.81
 the car is worth no more than $ 1,900
 c = 1900
 the exponential inequality is:
 a (b) ^ x ≤ c
 17930 (0.81) ^ x ≤ 1900
 Answer:
 the exponential inequality is:
 17930 (0.81) ^ x ≤ 1900
 where
 x: number of years