Question

Kylie must complete 50 hours of community service. She does 5 hours each day. The linear equation y = -5x + 50 represents the hours Kylie has left after x days. For the graph of this equation, what does the y-intercept represent?

A. The number of days Kylie has worked.
B. The total hours Kylie needs to complete.
C. The hours Kylie has left after zero days.
D. The hours Kylie has worked.

Answer 1

The y-intercept in the equation y = -5x + 50 represents the total hours Kylie needs to complete her community service before she begins, which is 50 hours.

Step-by-step explanation:

The y-intercept in the linear equation y = -5x + 50 represents the starting value of y when x is zero. Hence, when looking at Kylie's community service hours, the y-intercept corresponds to the total hours Kylie needs to complete her community service before she starts, which is 50 hours. So when no days have passed (x=0), Kylie would still need to complete all 50 hours, indicating that the correct answer is option B: The total hours Kylie needs to complete.