One housekeeper charges $13 per hour, and another charges $8 per hour. If Sarah can afford no more than $59 per month to clean her house. Write an inequality that describes the possible number of hours that she can hire the first housekeeper ( x ) and the second housekeeper ( y ). A) $8 x - 13 y \leq 59$ B) $13 x + 8 y 59$

Question

One housekeeper charges $13 per hour, and another charges $8 per hour. If Sarah can afford no more than $59 per month to clean her house. Write an inequality that describes the possible number of hours that she can hire the first housekeeper ( x ) and the second housekeeper ( y ).
A) $8 x - 13 y \leq 59$
B) $13 x + 8 y < 59$
C) $13 x + 8 y \leq 59$
D) $13 x + 8 y \geq 59$
E) $8 x + 13 y > 59$

Quizplus · Accepted Answer

We need to find an inequality that limits the possible number of hours that Sarah can hire the two housekeepers based on her budget of $59. Let x be the number of hours she hires the first housekeeper and y be the number of hours she hires the second housekeeper. The cost of hiring the first housekeeper is $13 per hour, so the cost of x hours is $13x. Similarly, the cost of hiring the second housekeeper is $8 per hour, so the cost of y hours is $8y. Sarah's budget is $59 or less, so we can write:

$13x + $8y ≤ $59

which simplifies to:

13x + 8y ≤ 59

Therefore, the correct choice is C.

One Housekeeper Charges $13 Per Hour, and Another Charges $8 8x−13y≤598 x - 13 y \leq 598x−13y≤59

One Housekeeper Charges $13 Per Hour, and Another Charges $8 $8 x - 13 y \leq 59$