the table shows the number of songs that were downloaded and the total cost for buying the songs. what is…

the table shows the number of songs that were downloaded and the total cost for buying the songs. what is the rate of change for the function in the table? cost of downloaded songs number of songs (x) total cost (in $) (y) 2 4 3 6 4 8 5 10 2 songs for $1 $2 per song 4 songs for $1 $4 per song

the table shows the number of songs that were downloaded and the total cost for buying the songs. what is the rate of change for the function in the table? cost of downloaded songs number of songs (x) total cost (in $) (y) 2 4 3 6 4 8 5 10 2 songs for $1 $2 per song 4 songs for $1 $4 per song

Answer

Explanation:

Step1: Recall rate - of - change formula

The rate of change (slope) for a linear function is $m=\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take the points $(x_1,y_1)=(2,4)$ and $(x_2,y_2)=(3,6)$.

Step3: Calculate rate of change

$m=\frac{6 - 4}{3 - 2}=\frac{2}{1}=2$. This means the cost changes by $2$ dollars for each additional song.

Answer:

$2$ dollars per song