Question

Yuson must complete a certain number of hours of community service. She does 2 hours of service each day. After 8 days, Yuson has completed half of her required community service.
For the graph of the equation that represents this situation, what does the y-intercept represent?
A. hours left to complete
B. total hours of service
C. hours completed each day
D. days it takes to complete 30 hours

Answer 1

She completes 2 hours/day, so in 8 days she does 16 hours, which is half the required amount. Thus total required = 16·2 = 32 hours. Modeling hours remaining y vs days x: y = 32 − 2x, so the y-intercept is 32 — the total (initial) hours of service required. Answer: B.