Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t months, the average score S(t), as a percentage, was found to be given by the following equation, where t≥0. Complete parts (a) through (e) below. S(t)=79-16 In (t+1), 0≤t≤80 a) What was the average score when they initially took the test? The average score was%. (Round to one decimal place as needed.) b) What was the average score after 4 months? The average score after 4 months was%. (Round to one decimal place as needed.) c) What was the average score after 24 months? The average score after 24 months was %. (Round to one decimal place as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t months, the average score S(t), as a
percentage, was found to be given by the following equation, where t≥0. Complete parts (a) through (e) below.
S(t)=79-16 In (t+1), 0≤t≤80
a) What was the average score when they initially took the test?
The average score was
b) What was the average score after 4 months?
The average score after 4 months was %. (Round to one decimal place as needed.)
c) What was the average score after 24 months?
The average score after 24 months was%. (Round to one decimal place as needed.)
%. (Round to one decimal place as needed.)
Transcribed Image Text:Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly intervals thereafter. After t months, the average score S(t), as a percentage, was found to be given by the following equation, where t≥0. Complete parts (a) through (e) below. S(t)=79-16 In (t+1), 0≤t≤80 a) What was the average score when they initially took the test? The average score was b) What was the average score after 4 months? The average score after 4 months was %. (Round to one decimal place as needed.) c) What was the average score after 24 months? The average score after 24 months was%. (Round to one decimal place as needed.) %. (Round to one decimal place as needed.)
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