Question

Baker earns $18 per hour at his job. The number of hours he works changes from week to week, but he always earns at least $360 but no more than $720. Let h represent the number of hours he works each week. How many hours does Baker work each week?

A) 10 hours
B) 20 hours
C) 30 hours
D) 40 hours

Answer 1

Baker must work at least 20 hours and no more than 40 hours each week to earn between $360 and $720. By dividing his minimum and maximum earnings by his hourly wage of $18, we determine the range of hours he can work. The correct option is B.

Step-by-step explanation:

Baker earns $18 per hour at his job and works a variable number of hours each week. He always earns at least $360 but no more than $720. If we let h represent the number of hours he works each week, we can create inequalities to represent the conditions:

• $360 \leq 18h \leq $720

To find the range of hours Baker works, we divide each part of the inequality by his hourly wage of $18.

• $360 / $18 \leq h \leq $720 / $18
• 20 \leq h \leq 40

Thus, Baker works at least 20 hours but no more than 40 hours each week. The multiple-choice options given were A) 10 hours, B) 20 hours, C) 30 hours, and D) 40 hours. Since Baker works at least 20 hours and at most 40 hours, the only options that fall within this range are options B) 20 hours and D) 40 hours. However, option B) 20 hours is the minimum number of hours he could work to earn $360, making it the most precise choice for this question.