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
7; 22
7; 22
24; 72
24; 72
9; 23
9; 23
6; 90
To find the ratio of math problems completed to minutes, we can divide the number of math problems completed by the number of minutes it took to complete them.
For 48 math problems completed in 8 minutes, the ratio is 48/8 = 6 math problems completed in 1 minute.
For 48 math problems completed in 8 minutes, the ratio is 48/8 = 6 math problems completed in 1 minute.
Therefore, the answer is 6;90
To find how many math problems Jesse can complete in 1 minute, we need to find the equivalent ratio for 1 minute compared to 8 minutes.
In the table, we can see that the ratio of math problems to minutes is constant. Therefore, we can set up a proportion:
48 math problems / 8 minutes = x math problems / 1 minute
To solve for x, we can cross multiply:
48 math problems * 1 minute = 8 minutes * x math problems
48 math problems = 8x
To isolate x, we divide both sides of the equation by 8:
48 math problems / 8 = x
x = 6 math problems
Therefore, Jesse can complete 6 math problems in 1 minute.
To find how many math problems Jesse can complete in 15 minutes, we use the same method:
48 math problems / 8 minutes = y math problems / 15 minutes
48 math problems * 15 minutes = 8 minutes * y math problems
720 math problems = 8y
Dividing both sides by 8:
720 math problems / 8 = y
y = 90 math problems
Therefore, Jesse can complete 90 math problems in 15 minutes.
The correct answer is:
Jesse can complete 6 math problems in 1 minute.
Jesse can complete 90 math problems in 15 minutes.
To find the answer to this question, we need to look for the ratio between the minutes and the number of math problems. Let's examine the first ratio given: Jesse can complete 48 math problems in 8 minutes. This gives us a ratio of 48 problems to 8 minutes.
To determine how many math problems Jesse can complete in 1 minute, we need to find the equivalent ratio when the minutes reduce from 8 to 1. To do this, we divide both the numerator and denominator of the ratio by 8.
48 ÷ 8 = 6
So, Jesse can complete 6 math problems in 1 minute.
Next, to find how many math problems Jesse can complete in 15 minutes, we need to find the equivalent ratio when the minutes increase from 8 to 15. To do this, we multiply both the numerator and denominator of the ratio by 15.
48 × 15 = 720
So, Jesse can complete 720 math problems in 15 minutes.
Therefore, the correct answer is:
6; 720
The corresponding option from the given responses is:
6; 90