The answer to the question how many weeks will it take for the average score of the class to equal 60 is B 9 weeks
Since the average score M (t) = 80 – 20log(t + 1) where t = number of weeks, we need to find the number of weeks it will take the average score to reach 60.
So, we find t when M(t) = 60.
So, M (t) = 80 – 20log(t + 1)
60 = 80 – 20log(t + 1)
Subtracting 80 from both sides, we have
60 - 80 = – 20log(t + 1)
-20 = -20log(t + 1)
Dividing both sides by -20, we have
-20/-20 = log(t + 1)
1 = log(t + 1)
Taking inverse logarithm of both sides, we have
10¹ = t + 1
10 = t + 1
Subtracting 1 from both sides, we have
t = 10 - 1
t = 9 weeks
So, the answer to the question how many weeks will it take for the average score of the class to equal 60 is B 9 weeks
Learn more about logarithm functions here:
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