Rock music accounted for 35.5% of the total sales of recorded music in 1995, and

Question

Rock music accounted for 35.5% of the total sales of recorded music in 1995, and 24.6% of the total sales of recorded music in 2000. Find the average rate of change of the percentage of sales of rock music from 1995 to 2000. Round to the nearest hundredth of a percent Note that the percentage sign is already given in the answer, so you do not need to enter it. The average rate of change is % per year. Rap/hip-hop music accounted for 12.9% of the total sales of recorded music in 1997, and 13.7% of the total sales of recorded music in 2002. Find the average rate of change of the percentage of sales of rap/hip-hop music from 1997 to 2002. Round to the nearest hundredth of a percent Note that the percentage sign is already given in the answer, so you do not need to enter it. The average rate of change is % per year.

Explanation / Answer

Ans1)

Rate of change involves a unit change over time change - in this case, a percentage per year is what we are looking for.

The difference in percentage is 24.6% - 35.5% = ( -10.9%)

The difference in years is 2000 - 1995 = 5 years

Going back to what we are looking for, percentage per year, we do ( -10.9%) / 5 years = -2.18 %/year

so,the average rate of change is -2.18 % per year

Ans2) Rate of change involves a unit change over time change - in this case, a percentage per year is what we are looking for.

The difference in percentage is 13.7% - 12.9% = ( 0.8%)

The difference in years is 2002 - 1997 = 5 years

Going back to what we are looking for, percentage per year, we do ( 0.8%) / 5 years = 0.16 %/year

so,the average rate of change is  0.16 % per year

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