This table represents the amount of money in Maddie's savings account each month. What is the rate of change for the function that models the balance in her account? Month 5
This table represents the amount of money in Maddie's savings account each month. What is the rate of change for the function that models the balance in her account? Month 5
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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![**Mathematics Educational Content**
### Clue #3
This table represents the amount of money in Maddie’s savings account each month. What is the rate of change for the function that models the balance in her account?
| Month | 1 | 2 | 3 | 4 | 5 | 6 |
|------------------|-------|--------|--------|--------|--------|--------|
| Balance in Saving | $346.50 | $394.50 | $442.50 | $490.50 | $538.50 | $586.50 |
**Rate of Change:** \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) per month
### Clue #4
Max is designing a garden in his backyard. He is planning a diagonal walkway through the garden. This diagram shows the length & width of the planned garden. What is the length of the diagonal walkway?
**Diagram Details:**
- The diagram depicts a right triangle, where the lengths of the two legs are given as 16 feet and 12 feet respectively.
- The hypotenuse, representing the diagonal walkway through the garden, needs to be calculated.
Using the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
Where:
- \( a = 16 \) feet
- \( b = 12 \) feet
- \( c \) (hypotenuse) is the length of the diagonal walkway
Calculations:
\[ 16^2 + 12^2 = c^2 \]
\[ 256 + 144 = c^2 \]
\[ 400 = c^2 \]
\[ c = \sqrt{400} \]
\[ c = 20 \]
So, the length of the diagonal walkway is 20 feet, contrary to the highlighted value of "10.6" which seems to suggest an incorrect calculation or a typo.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F788f1c71-8175-4f8b-8fca-0670d400bea5%2F2b363b55-ea9a-4e6a-9f14-ebec45b4bfda%2F7en87v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Mathematics Educational Content**
### Clue #3
This table represents the amount of money in Maddie’s savings account each month. What is the rate of change for the function that models the balance in her account?
| Month | 1 | 2 | 3 | 4 | 5 | 6 |
|------------------|-------|--------|--------|--------|--------|--------|
| Balance in Saving | $346.50 | $394.50 | $442.50 | $490.50 | $538.50 | $586.50 |
**Rate of Change:** \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \) per month
### Clue #4
Max is designing a garden in his backyard. He is planning a diagonal walkway through the garden. This diagram shows the length & width of the planned garden. What is the length of the diagonal walkway?
**Diagram Details:**
- The diagram depicts a right triangle, where the lengths of the two legs are given as 16 feet and 12 feet respectively.
- The hypotenuse, representing the diagonal walkway through the garden, needs to be calculated.
Using the Pythagorean theorem:
\[ a^2 + b^2 = c^2 \]
Where:
- \( a = 16 \) feet
- \( b = 12 \) feet
- \( c \) (hypotenuse) is the length of the diagonal walkway
Calculations:
\[ 16^2 + 12^2 = c^2 \]
\[ 256 + 144 = c^2 \]
\[ 400 = c^2 \]
\[ c = \sqrt{400} \]
\[ c = 20 \]
So, the length of the diagonal walkway is 20 feet, contrary to the highlighted value of "10.6" which seems to suggest an incorrect calculation or a typo.
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