Question

Sheila is a clerk at a pharmacy. She gets paid $8.30 an hour to work during the day

and $9.75 an hour to work at night, where a represents the amount of hours worked
during the day, and y represents the amount of hours worked at night. Sheila's
earnings last week are represented by the equation 8.302 + 9.75y = 280.
What does the y-intercept represent?
A. Sheila can work 28.7 hours during the night and make approximately $280.
B. Sheila can work 33.7 hours during the night and make approximately $280.
C. Sheila can work 280 hours at any time and make approximately $280.
D. Sheila can work 20 hours each day and night) and make approximately $280.

Answer 1

8.30x + 9.75y = 280

9.75y = 280

y = about 28.7 hours

The correct answer is A.

Answer 2

The y-intercept represents the amount of money Sheila earns when she does not work any hours during the night.

Step-by-step explanation:

The y-intercept represents the amount of money Sheila earns when she does not work any hours during the night. In the given equation 8.302 + 9.75y = 280, the y-intercept is the value of y when a = 0. Substituting a = 0 into the equation, we can solve for y:

8.302 + 9.75y = 280

9.75y = 280 - 8.302

9.75y = 271.698

y ≈ 27.87

Therefore, the y-intercept represents that Sheila can work approximately 27.87 hours during the night and make approximately $280.