Use Tables of Equivalent Ratios Quick Check

3 of 53 of 5 Items

Question
Use the table to answer the question.

Minutes 1 8 15
Math Problems x 48 y
Jesse can complete 48 math problems in 8 minutes. How many math problems can she complete in 1 minute? How many math problems can she complete in 15 minutes?

(1 point)
Responses

6; 90
6; 90

7; 22
7; 22

24; 72
24; 72

9; 23
9; 23
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1 answer

Looking at the table, we can see that the ratio of math problems to minutes is constant. This means that it is a proportional relationship.

To find the number of math problems Jesse can complete in 1 minute, we can set up the ratio:

48 math problems / 8 minutes = x math problems / 1 minute

Cross multiplying, we get:

8x = 48

Dividing both sides by 8, we find:

x = 6

Therefore, Jesse can complete 6 math problems in 1 minute.

To find the number of math problems Jesse can complete in 15 minutes, we can set up the same ratio:

48 math problems / 8 minutes = y math problems / 15 minutes

Cross multiplying, we get:

8y = 48 * 15

8y = 720

Dividing both sides by 8, we find:

y = 90

Therefore, Jesse can complete 90 math problems in 15 minutes.
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