Question

the cost for pauls monthly cell - phone plan can be represented by the piecewise function below. the y - values represent cost and the x - values represent minutes. $y=\begin{cases}50 if 0leq xleq100\\50 + 0.25(x - 100) if x>100end{cases}$ 1. which statement below best describes this cell - phone plan? the charge for the first 50 minutes of cell service is $100. after the first 50 minutes, each additional minute is $0.25. the charge for the first 100 minutes of cell service is $50. after the first 100 minutes, each additional minute is $0.25. neither of these is correct.

Explanation:

The piece - wise function has $y = 50$ when $0\leq x\leq100$, meaning the cost is $50$ for the first 100 minutes. When $x>100$, the formula $y = 50+0.25(x - 100)$ shows that after the first 100 minutes, there is an additional charge of $0.25$ per minute.

Answer:

The charge for the first 100 minutes of cell service is $50$. After the first 100 minutes, each additional minute is $0.25$