the table shows the number of songs that were downloaded and the total cost for buying the songs. \ncost of…
the table shows the number of songs that were downloaded and the total cost for buying the songs. \ncost of downloaded songs\nnumber of songs (x) | total cost (in $) (y)\n2 | 4\n3 | 6\n4 | 8\n5 | 10\nwhat is the rate of change for the function in the table?\n2 songs for $1\n$2 per song\n4 songs for $1\n$4 per song
Answer
Explanation:
Step1: Recall rate of change formula
The rate of change (slope) between two points ((x_1, y_1)) and ((x_2, y_2)) is (\frac{y_2 - y_1}{x_2 - x_1}).
Step2: Pick two points from the table
Let's take ((2, 4)) and ((3, 6)).
Step3: Calculate rate of change
Using the formula, (\frac{6 - 4}{3 - 2}=\frac{2}{1} = 2). This means the cost increases by $2 for each additional song, so the rate of change is $2 per song.