Question

Mel 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

Answer 1

Answer: 8

Step-by-step explanation:

$10x+45 > 120\\10x+45-45 > 120-45\\10x > 75\\\frac{10x}{10} > \frac{75}{10} \\x > 7.5$

Therefore, Mel has to work at least 7.5 hours or 8 total hours.