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.

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

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

step-by-step explanation: