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:
-
For 5 minutes: \[ 1.6 \times 5 = 8 \]
-
For 15 minutes: \[ 1.6 \times 15 = 24 \]
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For 25 minutes: \[ 1.6 \times 25 = 40 \]
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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.
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