Make Tables of Equivalent Ratios Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 3 of 53 of 5 Items Question Use the table to answer the question. Time (m) Number of Free Throws 3 4 Larry can shoot 4 free throws in 3 minutes. Complete the ratio table to determine how many free throws he can make in 15 minutes. (2 points) Time (m) Number of Free Throws 3 4
To determine how many free throws Larry can make in 15 minutes, we need to find the ratio of the number of free throws to the time in minutes for the given time period of 3 minutes.
To find the ratio, we divide the number of free throws by the time in minutes.
For the given time period of 3 minutes, Larry can shoot 4 free throws.
Thus, the ratio of number of free throws to time in minutes is 4/3.
To determine the number of free throws Larry can make in 15 minutes, we need to find the equivalent ratio by multiplying the ratio by a constant.
To find the constant, we divide the new time period of 15 minutes by the given time period of 3 minutes.
15/3 = 5
So, the constant is 5.
Now, to find the number of free throws Larry can make in 15 minutes, we multiply the constant by the number of free throws.
4 * 5 = 20
Therefore, Larry can make 20 free throws in 15 minutes.
Complete ratio table:
Time (m) Number of Free Throws
3 4
15 20
To determine how many free throws Larry can make in 15 minutes, we can set up an equivalent ratio using the given information.
Given ratio: Larry can shoot 4 free throws in 3 minutes.
To find the equivalent ratio for 15 minutes, we need to scale up the ratio. Since 15 minutes is 5 times greater than 3 minutes, we can multiply both numerator and denominator by 5.
Updated ratio: Larry can shoot 4 × 5 = 20 free throws in 3 × 5 = 15 minutes.
Complete ratio table:
Time (m) Number of Free Throws
3 4
15 20
Therefore, Larry can make 20 free throws in 15 minutes.
To complete the ratio table and determine how many free throws Larry can make in 15 minutes, we can use the given information that Larry can shoot 4 free throws in 3 minutes.
We want to find the number of free throws that Larry can make in 15 minutes. To do this, we can set up a proportion using the ratio of time to the number of free throws made:
3 minutes / 4 free throws = 15 minutes / x free throws
To solve for x, we can cross multiply:
3 * x = 4 * 15
3x = 60
Dividing both sides by 3:
x = 60 / 3
x = 20
Therefore, Larry can make 20 free throws in 15 minutes.
Completing the ratio table, we have:
Time (m) Number of Free Throws
3 4
15 20