Question

The table shows the number of pages Yolanda read over several days.

Days Number of Pages Read
1 15
2 30
3 45
4 60

The equation p=12d
represents p
, the number of pages Leslie can read in d
days.

Which statement about the reading rates of Yolanda and Leslie is true?
Yolanda reads 1 page in 15 days.
Leslie reads at a faster rate than Yolanda.
Yolanda reads at a faster rate than Leslie.
Both Yolanda and Leslie read at the same rate.

Answer 1

To determine the reading rates of both Yolanda and Leslie, we can analyze the data provided.

### For Yolanda:
From the table:

- On day 1, she read 15 pages.
- On day 2, she read 30 pages.
- On day 3, she read 45 pages.
- On day 4, she read 60 pages.

We can see that Yolanda read an additional 15 pages each day. Thus, her reading rate can be calculated by finding the number of pages she reads per day.

- **Rate for Yolanda:** \( \text{Rate} = \frac{\text{Total Pages Read}}{\text{Number of Days}} \)

From the data, on day 4, she read 60 pages over 4 days:
\[
\text{Rate for Yolanda} = \frac{60 \text{ pages}}{4 \text{ days}} = 15 \text{ pages per day}
\]

### For Leslie:
The equation \( p = 12d \) tells us how many pages Leslie reads in \( d \) days.

At \( d = 1 \):
- \( p = 12 \times 1 = 12 \) pages

At \( d = 2 \):
- \( p = 12 \times 2 = 24 \) pages

At \( d = 3 \):
- \( p = 12 \times 3 = 36 \) pages

At \( d = 4 \):
- \( p = 12 \times 4 = 48 \) pages

This indicates that Leslie reads 12 pages per day.

### Comparing the Reading Rates
- **Yolanda's rate:** 15 pages per day
- **Leslie's rate:** 12 pages per day

### Conclusion
Now, we can analyze the statements:
1. Yolanda reads 1 page in 15 days. **(False)** – She reads 15 pages in 1 day.
2. Leslie reads at a faster rate than Yolanda. **(False)** – Yolanda reads faster.
3. Yolanda reads at a faster rate than Leslie. **(True)** – Yolanda reads 15 pages per day while Leslie reads 12 pages per day.
4. Both Yolanda and Leslie read at the same rate. **(False)** – They do not read at the same rate.

Therefore, the true statement is: **Yolanda reads at a faster rate than Leslie.**