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.

Answer 1

@ramen

Answer 2

\[a(b)^x=c\]
new car-\[$17,930\]
\[ a = 17930\]
value of the car is decreased by 19%/year
\[ b = 1-0.19 = 0.81\]
The car was valued more ≥ 1,900
\[ c = 1900\]
the exponential inequality is \[ a (b) ^ x ≤ c\]
\[ 17930 (0.81) ^ x ≤ 1900\]

Answer 3

thank you

Answer 4

np