Question
The cost \( C \) of a mobile data plan depends on how many gigabits \( g \) of data is used. The cost can be
found by evaluating the following piecewise function.
\( C(g)=\left\{\begin{array}{ll}15 & \text { if } 0
Ask by Barrett Gardner. in the United States
Mar 14,2025
Ask by Barrett Gardner. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( C(1) = 15 \) dollars and \( C(6) = 35 \) dollars.
Solution
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The Deep Dive
To find the cost of using 1 GB of data, we look at the piecewise function. Since \( 0 < g < 2 \) for \( g = 1 \), we use the first part of the function: \( C(1) = 15 \) dollars. For 6 GB of data, we see that \( g = 6 \) falls under the second condition where \( g \geq 2 \). Thus, we use the second part of the function: \( C(6) = 5(6) + 5 = 30 + 5 = 35 \) dollars. So the answers are: The cost of using 1 GB of data would be \( C(1)=15 \) dollars. The cost of using 6 GB of data would be \( C(6)=35 \) dollars.
