Question

Josh mows grass to earn extra money. He charges $25.00 for each lawn. He mows at least 5 yards each week; but not more than 20 yards. The function f(x) = 25x models his income. Write the domain of the function as an inequality.

Answer 1

Let

x = number of yards mowed

The domain of the function is

5 ≤ x ≤ 20

If we multiply the inequality by 25, we get

125 ≤ 25*x ≤ 500

Which is the same as

125 ≤ f(x) ≤ 500

(Range of the function)

Domain 5 ≤ x ≤ 20

Range 125 ≤ f(x) ≤ 500