Question

Rock-music sales represented 24.8% of the total music sales in 2000. By 2007, rock-music sales represented 32.4% of the total music sales. Calculate and interpret the unit rate of change (slope).

Answer 1

Unit Rate of Change = 1.27%

Explanation:

In 2000, t=1 and Total Music sales = 24.8%

In 2007, t=7 and Total Music sales = 32.4%

The Slope
`m=(32.4-24.8)/(7-1) =(7.6)/(6)=1.27\%`

The Unit Rate of Change is 1.27% and it means that the Total Music Sales Increased by approximately 1.27% every year.

Answer 2

The unit rate of change (slope) = 1.09%

Which means that the Rock-music sales percent of the total music sales increases at the rate of 1.09% per year, from 2000 to 2007.

Explanation:

Given;

For rock music sales

At year 2000, it represents 24.8%

At year 2007, it represents 32.4%

The unit rate of change (slope) = change in rock-music sales percent per year.

Slope = (32.4% - 24.8%)/(2007-2000) = 7.6/7 = 1.09%

The unit rate of change (slope) = 1.09%

Which means that the Rock-music sales percent of the total music sales increases at the rate of 1.09% per year, from 2000 to 2007.