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

0≤f(w)≤1,050

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

−∞<f(w)≤1,050

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

0≤f(w)<∞

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

0<f(w)<1,050

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

Answer 1

0 ≤ f(w) ≤ 1,050

Reason: w (number of walks) can't be negative so f(w) ≥ 0, and with the implied real-world maximum of 70 walks (1050 ÷ 15 = 70) the earnings are at most $1,050.