5. A county fair charges an admission fee of $15 plus $2.50 for each ride on the Ferris wheel. a) Find an equation that describes the total cost for admission and the number of rides taken on the Ferris wheel. b) The correct interpretation of slope in the linear equation from part a is: As the number of rides on the Ferris wheel increases by 1, the total cost increases by. 6. Suppose the population of a small town in 1978 was 18,750. In that year, a landfill was built and has had a negative effect on the population of the town, such that for each year past 1978, the population has decreased, on average by 48 people. a) Find the linear equation that describes the town's population, P for x years after 1978. P= b) The correct interpretation of slope in the linear equation from part a is: For each year past 1978, the town's population by people. 7. A car dealership offers financing toward the purchase of a Toyota Prius. The dealership's offer results in a monthly payment of $21.60 per $1,000 borrowed for 48 months. Complete the table below for the corresponding monthly payment. Amount Borrowed $1,000 $2,000 $3,000 $5,000 $6,000 $9,000 $12,000 Monthly Payment $21.60 Refer to the information from problem 7 to answer the questions below. a) If your monthly payment is $356.40, how much did you borrow? b) How much is your monthly payment if you borrow $11,500? c) If you borrow $11,500, how much will you pay back, in total, for the loan?
5. A county fair charges an admission fee of $15 plus $2.50 for each ride on the Ferris wheel. a) Find an equation that describes the total cost for admission and the number of rides taken on the Ferris wheel. b) The correct interpretation of slope in the linear equation from part a is: As the number of rides on the Ferris wheel increases by 1, the total cost increases by. 6. Suppose the population of a small town in 1978 was 18,750. In that year, a landfill was built and has had a negative effect on the population of the town, such that for each year past 1978, the population has decreased, on average by 48 people. a) Find the linear equation that describes the town's population, P for x years after 1978. P= b) The correct interpretation of slope in the linear equation from part a is: For each year past 1978, the town's population by people. 7. A car dealership offers financing toward the purchase of a Toyota Prius. The dealership's offer results in a monthly payment of $21.60 per $1,000 borrowed for 48 months. Complete the table below for the corresponding monthly payment. Amount Borrowed $1,000 $2,000 $3,000 $5,000 $6,000 $9,000 $12,000 Monthly Payment $21.60 Refer to the information from problem 7 to answer the questions below. a) If your monthly payment is $356.40, how much did you borrow? b) How much is your monthly payment if you borrow $11,500? c) If you borrow $11,500, how much will you pay back, in total, for the loan?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Certainly! Here is a transcription and explanation of the document designed for an educational website.
---
**Educational Resource: Understanding Linear Equations**
**Problem 5: Amusement Ride Costs**
A county fair charges an admission fee of $15 plus $2.50 for each ride on the Ferris wheel.
a) **Equation for Total Cost:**
To find an equation that describes the total cost, \( C \), for admission and the number of rides taken on the Ferris wheel, use the formula:
\[ C = \]
b) **Interpretation of Slope:**
The correct interpretation of slope in the linear equation from part a is: As the number of rides on the Ferris wheel increases by \( 1 \), the total cost increases by \_.
**Problem 6: Population Decline in a Small Town**
Suppose the population of a small town in 1978 was 18,750. In that year, a landfill was built and had a negative effect on the population of the town, such that for each year past 1978, the population has decreased, on average, by 48 people.
a) **Equation for Population:**
Find the linear equation that describes the town’s population, \( P \), for \( x \) years after 1978.
\[ P = \]
b) **Interpretation of Slope:**
The correct interpretation of slope in the linear equation from part a is: For each year past 1978, the town’s population has decreased by \_ people.
**Problem 7: Car Financing**
A car dealership offers financing toward the purchase of a Toyota Prius. The dealership’s offer results in a monthly payment of $21.60 per $1,000 borrowed for 48 months. Complete the table below for the corresponding monthly payment.
| Amount Borrowed | Monthly Payment |
|-----------------|-----------------|
| $1,000 | $21.60 |
| $2,000 | |
| $3,000 | |
| $5,000 | |
| $6,000 | |
| $9,000 | |
| $12,000 | |
**Problem 8: Analyzing Loan Payments**
Refer to the information from problem 7 to answer the questions below.
a) If your monthly payment is $356.40, how much did you borrow?
\[ \text{Borrowed Amount:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0e66dc0-33a7-486a-ab2a-7a4deeb92994%2Fe3525c6b-a17c-4214-bfe5-0ba1605be9d0%2Fu6qf7vl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Certainly! Here is a transcription and explanation of the document designed for an educational website.
---
**Educational Resource: Understanding Linear Equations**
**Problem 5: Amusement Ride Costs**
A county fair charges an admission fee of $15 plus $2.50 for each ride on the Ferris wheel.
a) **Equation for Total Cost:**
To find an equation that describes the total cost, \( C \), for admission and the number of rides taken on the Ferris wheel, use the formula:
\[ C = \]
b) **Interpretation of Slope:**
The correct interpretation of slope in the linear equation from part a is: As the number of rides on the Ferris wheel increases by \( 1 \), the total cost increases by \_.
**Problem 6: Population Decline in a Small Town**
Suppose the population of a small town in 1978 was 18,750. In that year, a landfill was built and had a negative effect on the population of the town, such that for each year past 1978, the population has decreased, on average, by 48 people.
a) **Equation for Population:**
Find the linear equation that describes the town’s population, \( P \), for \( x \) years after 1978.
\[ P = \]
b) **Interpretation of Slope:**
The correct interpretation of slope in the linear equation from part a is: For each year past 1978, the town’s population has decreased by \_ people.
**Problem 7: Car Financing**
A car dealership offers financing toward the purchase of a Toyota Prius. The dealership’s offer results in a monthly payment of $21.60 per $1,000 borrowed for 48 months. Complete the table below for the corresponding monthly payment.
| Amount Borrowed | Monthly Payment |
|-----------------|-----------------|
| $1,000 | $21.60 |
| $2,000 | |
| $3,000 | |
| $5,000 | |
| $6,000 | |
| $9,000 | |
| $12,000 | |
**Problem 8: Analyzing Loan Payments**
Refer to the information from problem 7 to answer the questions below.
a) If your monthly payment is $356.40, how much did you borrow?
\[ \text{Borrowed Amount:
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