Question

Bob had a summer job that paid $10.00 per hour and he

worked between 20-25 hours every week. His weekly salary
can be modeled by the equation S = 10h, where S is his
weekly salary and h the number of hours he worked per
week. Describe the domain and range for this problem.

Answer 1

The domain of Bob's weekly work hours is between 20 and 25, and the corresponding range of his salary based on the equation S = 10h is between $200 and $250.

Step-by-step explanation:

The domain in the context of Bob's job represents the number of hours he could potentially work per week. Since Bob worked between 20-25 hours every week, the domain of the equation S = 10h is {20, 21, 22, 23, 24, 25}. The range refers to possible salary outcomes based on the number of hours worked. Hence, the range is the set of weekly salaries he can earn, which is calculated using the given equation: {200, 210, 220, 230, 240, 250}. Therefore, for each hour Bob works, he earns $10.00, and his weekly salary can be determined by multiplying the number of hours worked by his hourly wage.