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

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