Khaleesi Herbert

2021-02-08

A "Student Drug Use and Health Survey" of Ontario high school students found that the percentage of students that reported serious psychosocial distress in the past month increased from 10.7% in 2013 to 17.1% in 2017.

Assuming a standard exponential growth trend, what is the annual growth rate in the percentage of students reporting serious psychosocial distress in the past month?

Assuming a standard exponential growth trend, what is the annual growth rate in the percentage of students reporting serious psychosocial distress in the past month?

rogreenhoxa8

Skilled2021-02-09Added 109 answers

Let t=0 for 2013, t=1 for 2014, t=2 for 2015, t=3 for 2016, t=4 for 2017.

Assuming the exponential growth rate as,

Therefore, at t=4, y=17.1

Thus,

k=0.1172

Hence, the equation of exponential growth rate is

Thus the annual growth rate is calculated at t=1 we get

y(1)=12.03

Hence, the annual growth rate in the percentage of students reporting serious psychosocial distress in the past month is 12.03%.

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