Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change.
A)The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.177% per year.
B)The percentage of U.S. high school seniors who used marijuana decreased at a rate of 17.7% per year.
C)The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year.
D)The percentage of U.S. high school seniors who used marijuana increased at a rate of 17.7% per year.
E)The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.77% per year.

Question

Suppose the percent of U.S. high school seniors from 1975 to 2001 who used marijuana can be modeled by  percent, where x is the number of years past 1975. Choose the correct interpretation the slope in this equation as a rate of change. ​
A)The percentage of U.S. high school seniors who used marijuana increased at a rate of 0.177% per year. 
B)The percentage of U.S. high school seniors who used marijuana decreased at a rate of 17.7% per year. 
C)The percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year. 
D)The percentage of U.S. high school seniors who used marijuana increased at a rate of 17.7% per year. 
E)The percentage of U.S. high school seniors who used marijuana decreased at a rate of 1.77% per year.

Quizplus · Accepted Answer

The slope in the equation is e^(-0.0177) which is approximately 0.9823. This means that for every year past 1975, the percentage of U.S. high school seniors who used marijuana decreased by approximately 0.177%. Therefore, the correct interpretation is that the percentage of U.S. high school seniors who used marijuana decreased at a rate of 0.177% per year.

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