Question

Dorian earns $15 every time he walks a dog. He models the total amount of money he makes walking dogs with the equation f(w)=15w
. Which inequality shows the range of his earnings given the real-world constraints?(1 point)
Responses

−∞<f(w)≤1,050

negative infinity less than f left parenthesis w right parenthesis less-than-or-equal-to 1,050

0≤f(w)≤1,050

0 less-than-or-equal-to f left parenthesis w right parenthesis less-than-or-equal-to 1,050

0<f(w)<1,050

0 less than f left parenthesis w right parenthesis less than 1,050

0≤f(w)<∞

0 less-than-or-equal-to f left parenthesis w right parenthesis less than infinity

Answer 1

0 ≤ f(w) ≤ 1,050

Because f(w)=15w and w ≥ 0, his earnings can't be negative. With the given real-world limit (w ≤ 70), the maximum is 15·70 = 1,050, so 0 ≤ f(w) ≤ 1,050.