https://file.aiquickdraw.com/mathbot/file/17273109382011sp8q0fv.jpg

Let's tackle each question you uploaded one at a time:

### Question 8: Walking Distance
James and Jaycee both walked for 3 hours. The graph shows James's progress over time, while we know Jaycee walked 14.5 miles in the same duration.

From the graph, James's distance covered can be calculated by observing the final distance at the 3-hour mark. The graph shows James reached 15 miles. Therefore, **James walked farther than Jaycee** by \(15 - 14.5 = 0.5\) miles.

### Question 9: Running Speeds
The squirrel can run \(4\frac{1}{3}\) miles in 15 minutes, and the fox can run 21 miles in 30 minutes. To compare their speeds:
- Convert \(4\frac{1}{3}\) miles to a decimal, which is \(4.333\) miles.
- Calculate their speeds in miles per hour (mph):
  - Squirrel: \(\frac{4.333 \text{ miles}}{15 \text{ minutes}} \times 60 \text{ minutes per hour} = 17.332 \text{ mph}\)
  - Fox: \(\frac{21 \text{ miles}}{30 \text{ minutes}} \times 60 \text{ minutes per hour} = 42 \text{ mph}\)

Thus, the fox is faster, running \(42 - 17.332 = 24.668\) mph faster, so none of the options perfectly match the correct difference. It seems there might be a slight error in the choices provided or my interpretation.

### Question 10: Reading Pages
Joelle can read:
- 3 pages in 4 minutes or \(\frac{3}{4} \text{ pages per minute}\)
- 4.5 pages in 6 minutes or \(\frac{4.5}{6} = \frac{3}{4} \text{ pages per minute}\)
- 6 pages in 8 minutes or \(\frac{6}{8} = \frac{3}{4} \text{ pages per minute}\)

So, Joelle reads at a constant rate of \(\frac{3}{4}\) pages per minute. Paxton reads 3 times as fast as Joelle, so he reads \(\frac{9}{4}\) pages per minute.

The equation to calculate the number of pages \(y\) that Paxton can read in \(x\) minutes is:
\[ y = \frac{9}{4}x \]

Therefore, the correct answer is option \( \mathbf{A} \).

Let me know if you have any questions about these solutions or if there's more you'd like to explore on this topic! Here are some related questions you might find interesting:

1. How can you use distance-time graphs to calculate speed?
2. What is the method to convert mixed fractions into decimals?
3. How would you compare speeds if the time units are different (e.g., one in minutes, the other in hours)?
4. What kind of problems can be solved by setting up proportion equations like those used to determine reading rates?
5. How do linear equations relate to real-life situations such as the reading example?

**Tip**: When comparing rates from different situations, it's crucial to ensure all units are consistent, like converting all time measurements to hours if the speed is in miles per hour.

Test prep questions from an image uploaded by the user, covering topics like distance and speed comparison, reading rates, and basic inequalities.

Solve a variety of math problems related to walking distances, speed comparisons, and reading rates. This set of problems is ideal for students in grades 6-8 and covers essential concepts like speed calculation, linear equations, and inequalities.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation