   Chapter 4.4, Problem 83E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Learning Theory Students in a mathematics class were given an exam and then retested monthly with equivalent exams. The average scores S (on a 100-point scale) for the class can be modeled by S = 80 − 14   ln ( t + 1 ) ,   0 ≤ t ≤ 12 , where t is the time in months.(a) What was the average score on the original exam?(b) What was the average score after 4 months?(c) After how many months was the average score 46?

(a)

To determine

To calculate: The average score in the original exam when the average scores S (on 100-point scale) of the students who were tested every month by taking exam after the first exam given by them in mathematics is given by:

S=8014ln(t+1)

Where, t is the time in months and has range of 0t12.

Explanation

Given Information:

The average scores S (on 100-point scale) of the students who were tested every month by taking exam after the first exam given by them in mathematics is given by:

S=8014ln(t+1)

Where, t is the time in months and has range of 0t12.

Calculation:

Consider that the average scores S (on 100-point scale) of the students who were tested every month by taking exam after the first exam given by them in mathematics is given by:

S=8014ln(t+1)

Where, t is the time in months and has range of 0t12

(b)

To determine

To calculate: The average score after 4 months from the first exam when the average scores S (on 100-point scale) of the students who were tested every month by taking exam after the first exam given by them in mathematics is given by:

S=8014ln(t+1)

Where, t is the time in months and has range of 0t12.

(c)

To determine

To calculate: The month at which the average score will reach 46 when the average scores S (on 100-point scale) of the students who were tested every month by taking exam after the first exam given by them in mathematics is given by:

S=8014ln(t+1)

Where, t is the time in months and has range of 0t12.

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