Question

5-5: mathxl for school: practice & problem solving
due
feb 6 - 3:00 pm late
jenny read 15 books in 21 weeks. the diagram shown can be used to track her progress. if jenny read at the same rate each week, how many books had jenny read in 7 weeks? in 14 weeks? complete the diagram.
books read
0 7 14 21
weeks
0 7 14 21
weeks
c.
books read 3 6 15
d.
books read 0 7 14 15
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Explanation:

Step1: Find weekly reading rate

First, calculate how many books Jenny reads per week. She reads 15 books in 21 weeks, so the rate is:
$\text{Weekly rate} = \frac{15}{21} = \frac{5}{7}$ books per week

Step2: Calculate books in 7 weeks

Multiply the weekly rate by 7 weeks:
$\text{Books in 7 weeks} = \frac{5}{7} \times 7 = 5$

Step3: Calculate books in 14 weeks

Multiply the weekly rate by 14 weeks:
$\text{Books in 14 weeks} = \frac{5}{7} \times 14 = 10$

Step4: Match to correct diagram

The diagram should have 0, 5, 10, 15 for books read, aligned with 0, 7, 14, 21 weeks. Option C (with 3, 6, 15) is incorrect; the correct unshown full diagram has 5 at 7 weeks and 10 at 14 weeks, but among the given options, the logical correct mapping (even if the options have a typo, the calculated values are) 5 books in 7 weeks, 10 books in 14 weeks.

Answer:

Jenny read 5 books in 7 weeks and 10 books in 14 weeks. The correct diagram should have 5 aligned with 7 weeks and 10 aligned with 14 weeks (matching the proportional rate of $\frac{5}{7}$ books per week).