Question

the table shows the monthly cost of an online music subscription based on the number of songs downloaded. how can you find the cost, c, of downloading n songs, for n > 1?

number of songs (n)	cost (c)
2	$5.35
3	$5.70
4	$6.05

add $0.35 to the cost of downloading n - 1 songs. multiply n by $0.35 and add $5. add $5 to the cost of downloading n - 1 songs. multiply n by $0.35.

Explanation:

Step1: Find the cost - increase per song

When $n = 2$, $C=\$5.35$ and when $n = 1$, $C = \$5.00$. The increase in cost from 1 song to 2 songs is $5.35−5.00=\$0.35$. Similarly, from $n = 2$ to $n = 3$, $5.70 - 5.35=\$0.35$ and from $n = 3$ to $n = 4$, $6.05 - 5.70=\$0.35$. So the cost per additional song is $\$0.35$.

Step2: Analyze the base - cost and the formula

When $n = 1$, $C=\$5.00$. To find the cost $C$ of downloading $n$ songs, we start with the base - cost of $\$5$ for the first song and then add $\$0.35$ for each additional song after the first one. Mathematically, we can think of it as adding $\$0.35$ to the cost of downloading $n - 1$ songs.

Answer:

Add $0.35$ to the cost of downloading $n - 1$ songs.