Answer
a. f(x) = 80x + 500 (80 is the rate, so it is the slope)
b. $f^{-1}(x) = \frac{x-500}{80}$
It represents the number of hours the investigator worked if he was payed x amount
c. 9
9 hours of work for $1220 payment
Work Step by Step
a. f(x) = 80x + 500 (80 is the rate, so it is the slope)
b. x = 80y + 500
x-500 = 80y
$f^{-1}(x) = \frac{x-500}{80}$
It represents the number of hours the investigator worked if he was payed x amount
c. $f^{-1}(1220) = \frac{1220-500}{80}$
= 9
9 hours of work for $1220 payment