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
Question
Answer:
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
solved
general
11 months ago
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