Suppose Max can work a total of no more than 10 hours each week at his two part-time jobs. His house cleaning job pays $$ \$ 10 $$ per hour and his sales job pays $$ \$ 15 $$ per hour. Max needs to earn at least $$ \$ 120 $$ each week to pay his bills. Below, the variable $$ H $$ represents the hours spent house cleaning, and the variable $$ S $$ represents hours spent in the sales job. Enter an appropriate value in each blank box below to complete the system of inequalities that define the constraints described above in the problem statement. Please Note: Where applicable, to indicate $$ \geq $$ enter $$ = $$, and to indicate $$ \leq $$ enter

Question

Suppose Max can work a total of no more than 10 hours each week at his two part-time jobs. His house cleaning job pays $$ \$ 10 $$ per hour and his sales job pays $$ \$ 15 $$ per hour. Max needs to earn at least $$ \$ 120 $$ each week to pay his bills. Below, the variable $$ H $$ represents the hours spent house cleaning, and the variable $$ S $$ represents hours spent in the sales job. Enter an appropriate value in each blank box below to complete the system of inequalities that define the constraints described above in the problem statement. Please Note: Where applicable, to indicate $$ \geq $$ enter $$ >= $$, and to indicate $$ \leq $$ enter <= 120

UpStudy AI · Accepted Answer

$$
H + S \leq 10
$$

$$
10H + 15S \geq 120
$$
$$ H + S \leq 10 $$ $$ 10H + 15S \geq 120 $$

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