Question

AP Macroeconomics students were given an exam on a particular topic. Each week, they were tested with a comparable exam on the same topic and the average
score for the class was measured the function M (1) = 75 - 10log(t + 3) models the average score for the class after tweeks. How many weeks will it take until the
average score of the class is 65?
A. 10 weeks
B. 9 weeks
C. 8 weeks
D. 7 weeks ✅

the correct answer is D

Answer 1

How many weeks will it take until the

average score of the class is 65 will be D. 7 weeks

Based on the information given we are going to determine t when m(t) =65

M(t)=65=75 - 10log(t + 3)

10log(t + 3) =10

Log(t +3)=1

Hence:

When (t+3)=10 , Log10=1

t=10-3

t=7  weeks

Inconclusion How many weeks will it take until the average score of the class is 65 will be D. 7 weeks

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