https://file.aiquickdraw.com/mathbot/file/1725502486190opx4gizl.jpg

The question asks to find the rate of the total change in temperature over time, given two temperature changes:

- The temperature increased by 16°F in 5 hours.
- The temperature decreased by 31°F in the next 8 hours.

### Step-by-Step Solution:

1. **Calculate the total change in temperature:**
   - The increase in temperature is +16°F.
   - The decrease in temperature is -31°F.
   - The total change in temperature is \( 16°F - 31°F = -15°F \).

2. **Calculate the total time:**
   - The first period is 5 hours.
   - The second period is 8 hours.
   - The total time is \( 5 + 8 = 13 \) hours.

3. **Find the rate of change:**
   - The rate of change is the total change in temperature divided by the total time.
   \[
   \text{Rate of change} = \frac{-15°F}{13 \text{ hours}}.
   \]

So, the correct expression that shows the rate of the total change in temperature is **A. \( \frac{-15°F}{13 \text{ hours}} \)**.

Would you like any further details on this? Let me know!

### Related Questions:
1. What is the formula to calculate rate of change in general?
2. How do you interpret a negative rate of change?
3. What would the rate of change be if the temperature only decreased by 10°F in the same time period?
4. Can the rate of change be 0? Under what conditions?
5. How would this problem change if the temperature first decreased and then increased?

**Tip:** Always remember that a negative rate of change means a decrease over time!

The temperature in a town increased 16°F in 5 hours. The temperature decreased 31°F in the next 8 hours. Which of the expressions shows the rate of the total change in temperature?

Learn how to calculate the rate of temperature change over time by finding the total change in temperature and dividing by the total time. In this problem, the temperature increased 16°F in 5 hours and decreased 31°F in 8 hours. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation