Question

rashon signed up for a streaming music service that costs $12 per month. the service allows rashon to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. how much total money would rashon have to pay in a month in which he downloaded 50 songs? how much would he have to pay if he downloaded s songs? cost with 50 songs: cost with s songs:

Explanation:

Step1: Identify the fixed - cost and variable - cost

The fixed - cost per month for the streaming service is $12. The variable cost per song download is $0.75.

Step2: Write the cost formula for \(s\) songs

The cost formula \(C\) for downloading \(s\) songs in a month is \(C = 12+0.75s\).

Step3: Calculate the cost for 50 songs

Substitute \(s = 50\) into the formula \(C = 12+0.75s\).
\[

$$\begin{align*} C&=12 + 0.75\times50\\ &=12+37.5\\ &=49.5 \end{align*}$$

\]

Answer:

Cost with \(s\) songs: \(12 + 0.75s\)
Cost with 50 songs: \(49.5\)