Question

Lina reads 8 pages in 5 minutes if she always reads at the same rate which table represents the relationship between the number of pages she read and the amount of time it takes



A

Time (minutes)
5
15
25
35
Pages read

8
18
28
38


B

Time (minutes)
5
15
25
35
Pages read

8
24
40
56


C

Time (minutes)
8
18
28
38

Pages read

5
15
25
35

D
Time (minutes)
8
24
40
56
Pages read
5
15
25
35

Answer 1

Lina reads 8 pages in 5 minutes. To find the relationship between the time and pages read at her constant rate, we can first determine her rate of reading.

- In 5 minutes, she reads 8 pages.
- This means in 1 minute, she reads \( \frac{8}{5} = 1.6 \) pages.

If we let \( t \) be the time in minutes, the relationship can be expressed as:

\[
\text{Pages read} = 1.6 \times t
\]

Now, let's calculate how many pages she reads in the times given in the tables:

1. **For 5 minutes:**
\[
1.6 \times 5 = 8
\]

2. **For 15 minutes:**
\[
1.6 \times 15 = 24
\]

3. **For 25 minutes:**
\[
1.6 \times 25 = 40
\]

4. **For 35 minutes:**
\[
1.6 \times 35 = 56
\]

Now we can match these calculations with the tables:

**Table A:**
- 5 minutes: 8 pages (correct)
- 15 minutes: 18 pages (incorrect)
- 25 minutes: 28 pages (incorrect)
- 35 minutes: 38 pages (incorrect)

**Table B:**
- 5 minutes: 8 pages (correct)
- 15 minutes: 24 pages (correct)
- 25 minutes: 40 pages (correct)
- 35 minutes: 56 pages (correct)

**Table C:**
- 8 minutes: (not applicable)
- 18 minutes: (not applicable)
- 28 minutes: (not applicable)
- 38 minutes: (not applicable)

**Table D:**
- 8 minutes: (not applicable)
- 24 minutes: (not applicable)
- 40 minutes: (not applicable)
- 56 minutes: (not applicable)

The table that accurately represents the relationship between the number of pages Lina reads and the time it takes is **Table B**.