https://file.aiquickdraw.com/mathbot/file/1726193815447q5396g01.jpg

Let's go through each part of the problem described in the image.

### Part a:
Meredith lives 24 blocks away from her friend's house. We need to determine how many minutes it will take her to get there under different speeds.

- **At 1 block per minute**:
  \[
  \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{24 \text{ blocks}}{1 \text{ block/min}} = 24 \text{ minutes}.
  \]

- **At 2 blocks per minute**:
  \[
  \text{Time} = \frac{24 \text{ blocks}}{2 \text{ blocks/min}} = 12 \text{ minutes}.
  \]

### Part b:
We are asked to complete the table that represents the time it would take Meredith to reach her friend's house for different speeds. Here’s how to fill the table based on the formula \( \text{Time} = \frac{24}{\text{Speed}} \):

| Speed (blocks per minute) | 1  | 2  | 3  | 4  | 6  | 8  | 10 | 12 | 24 |
|---------------------------|----|----|----|----|----|----|----|----|----|
| Time (minutes)            | 24 | 12 | 8  | 6  | 4  | 3  | 2.4| 2  | 1  |

### Part c:
As Meredith's speed increases, the time it takes for her to reach her friend's house **decreases**. The relationship is inverse, meaning as speed goes up, time goes down. For instance, if she travels twice as fast (2 blocks per minute instead of 1 block per minute), it will take her half the time to reach her friend's house. This inverse relationship is captured by the formula \( \text{Time} = \frac{Distance}{Speed} \).

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Would you like further details or have any questions about these solutions?

Here are 5 related questions you might find helpful:
1. How would the formula change if the distance was not 24 blocks but another value?
2. What if Meredith could only travel at half a block per minute? How would the time change?
3. How is the relationship between time and speed reflected graphically?
4. What happens to the time if Meredith’s speed approaches zero?
5. If Meredith could travel at varying speeds during her trip, how would you calculate the total time?

**Tip**: When speed and time are inversely related, doubling one results in halving the other!

Meredith lives 24 blocks from her friend’s house. How long will it take her to get there if she walks at different speeds?

Learn how to calculate the time it takes for Meredith to reach her friend's house based on different walking speeds. This problem explores proportionality and inverse relationships, suitable for students in Grades 6-8.

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