Question

Miel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to work to have enough to buy the shoes is given by the inequality (10x + 45 > 120), where (x) is the number of hours she works. The fewest number of hours she has to work to buy the shoes is:

A) 9 hours
B) 8 hours
C) 7.5 hours
D) 6.5 hours

Answer 1

Miel needs to work more than 7.5 hours to afford the shoes. Since she can't work a partial hour, the fewest whole number of hours she must work is 8 hours.

Step-by-step explanation:

The student, Miel, wants to buy a pair of shoes for $120 and has already saved $45 from her job, which pays $10 per hour. To determine how many more hours she needs to work, we can solve the inequality (10x + 45 > 120), where x represents the number of hours she needs to work.

We first subtract $45 from both sides of the inequality to get 10x > 75. Next, we divide both sides by 10 to isolate x and get x > 7.5. Therefore, Miel must work more than 7.5 hours. Since she cannot work a fraction of an hour, the fewest number of whole hours she can work is 8 hours to have enough to purchase the shoes, which corresponds to choice B (8 hours).