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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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.
To find out how many math problems Jesse can complete in 1 minute, we can use the table of equivalent ratios. We know that she can complete 48 math problems in 8 minutes.
So, the ratio of math problems completed to minutes is 48:8. To find out how many math problems she can complete in 1 minute, we need to find the equivalent ratio for 1 minute. We can do this by dividing 48 by 8.
48 ÷ 8 = 6
Therefore, Jesse can complete 6 math problems in 1 minute.
To find out how many math problems she can complete in 15 minutes, we can again use the table of equivalent ratios. The ratio of math problems completed to minutes is still 48:8.
To find the equivalent ratio for 15 minutes, we can multiply 48 and 8 by the same number (since we are scaling up both the numerator and denominator).
48 x 15 = 720 (math problems completed in 15 minutes)
8 x 15 = 120 (minutes)
Therefore, Jesse can complete 720 math problems in 15 minutes.
To answer this question, we need to use the given table of equivalent ratios. The table relates the number of minutes to the number of math problems completed.
We are given that Jesse can complete 48 math problems in 8 minutes. This is our first equivalent ratio. To find how many math problems she can complete in 1 minute, we need to find the ratio between 1 minute and 8 minutes.
Let's calculate the ratio:
48 math problems in 8 minutes = x math problems in 1 minute
To find the value of x, we can divide 48 by 8:
48 ÷ 8 = 6
Therefore, Jesse can complete 6 math problems in 1 minute.
Now, let's find out how many math problems she can complete in 15 minutes. Again, we need to find the ratio between 15 minutes and 8 minutes.
Let's calculate the ratio:
48 math problems in 8 minutes = y math problems in 15 minutes
To find the value of y, we can use cross-multiplication:
48 × 15 = 8 × y
720 = 8y
Now, divide both sides of the equation by 8 to solve for y:
720 ÷ 8 = y
90 = y
Therefore, Jesse can complete 90 math problems in 15 minutes.
So, the correct answer is:
Jesse can complete 6 math problems in 1 minute, and 90 math problems in 15 minutes.