Question

Angela uses the childcare facilities at her gym. Her monthly dues are $59, and childcare is $8 per visit. This month, she does not wish to spend more than $147 for both dues and childcare. If x represents the number of times she can use childcare services, which of the following inequalities symbolizes this situation?

A) 59x + 8 ≤ 147.
B) 59x + 8 ≥ 147.
C) 59x - 8 ≤ 147.
D) 8x + 59 ≤ 147.

Answer 1

The correct inequality representing Angela's gym and childcare costs, which cannot exceed $147, is D) 8x + 59 ≤ 147, with x representing the number of childcare visits.

Step-by-step explanation:

Angela's situation can be translated into an inequality where x represents the number of times she can use childcare services. She has a fixed cost of $59 for her monthly gym dues, plus a variable cost of $8 for each visit to the childcare at the gym. She does not want to spend more than $147 in total. We can create the inequality:

59 + 8x ≤ 147

Here, 59 represents her fixed monthly gym dues, 8 represents the cost per childcare visit, and x represents the number of childcare visits. The total cost of gym dues plus childcare should be less than or equal to 147 dollars.

The correct inequality representing this situation is D) 8x + 59 ≤ 147.