Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the function f(t)=89-14 log(t+1), 0 ≤ t ≤ 24 where t is the time in months. (a) What is the average score on the original exam the students took? (b) What was the average score after 6 months? (c) What was the average score after 18 months? Question Help: Message instructor Submit Question
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the function f(t)=89-14 log(t+1), 0 ≤ t ≤ 24 where t is the time in months. (a) What is the average score on the original exam the students took? (b) What was the average score after 6 months? (c) What was the average score after 18 months? Question Help: Message instructor Submit Question
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Exam Score Analysis for Fifth-Grade Students
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the function
\[ f(t) = 89 - 14 \log(t + 1), \quad 0 \leq t \leq 24 \]
where \( t \) is the time in months.
#### Questions:
**(a) What is the average score on the original exam the students took?**
*Answer Here:*
**(b) What was the average score after 6 months?**
*Answer Here:*
**(c) What was the average score after 18 months?**
*Answer Here:*
For any questions or assistance, please use the **Message instructor** feature.
[Submit Question Button]
---
Explanation:
1. **Function Description**:
- The function \( f(t) = 89 - 14 \log(t + 1) \) models the average score of the students over time.
- Here, \( t \) represents the number of months since the original exam.
2. **Constraints**:
- \( 0 \leq t \leq 24 \): This means that the function is valid for the time period from 0 to 24 months (0 months being the time of the original exam, and 24 months being 2 years later).
#### Graphs and Diagrams
There are no graphical representations or diagrams provided in the image. The analysis is solely based on the mathematical function provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe140bf79-c7f8-4bf4-8549-86a5772ee325%2F143fdfec-a8bf-49b5-a805-a281a4322989%2F17yzr43_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Exam Score Analysis for Fifth-Grade Students
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the function
\[ f(t) = 89 - 14 \log(t + 1), \quad 0 \leq t \leq 24 \]
where \( t \) is the time in months.
#### Questions:
**(a) What is the average score on the original exam the students took?**
*Answer Here:*
**(b) What was the average score after 6 months?**
*Answer Here:*
**(c) What was the average score after 18 months?**
*Answer Here:*
For any questions or assistance, please use the **Message instructor** feature.
[Submit Question Button]
---
Explanation:
1. **Function Description**:
- The function \( f(t) = 89 - 14 \log(t + 1) \) models the average score of the students over time.
- Here, \( t \) represents the number of months since the original exam.
2. **Constraints**:
- \( 0 \leq t \leq 24 \): This means that the function is valid for the time period from 0 to 24 months (0 months being the time of the original exam, and 24 months being 2 years later).
#### Graphs and Diagrams
There are no graphical representations or diagrams provided in the image. The analysis is solely based on the mathematical function provided.
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