Question

Kira studied data collected on the school basketball team for one season. She noticed that a player on the team had 13 succesful free throws out of a total of 20 attempted free throws. To find the percentage of the total free throws attempted by this player that were successful, Kira set up the equivalent ratios below.

13/20 = m/n

What are the values for m and n in Kira's equation?

A. m = 65
n = 1

B. m = 100
n = 65

C. m = 93
n = 100

D. m = 65
n = 100​

Answer 1

In Kira's equation for determining the percentage of successful free throws, m is the number representing successful throws as a percentage, and n is the total in percentage form (100). Multiplying both the numerator (13) and the denominator (20) by 5 gives us the equivalent ratio of 65/100. Hence, m = 65 and n = 100.

Step-by-step explanation:

Kira wants to calculate the percentage of successful free throws made by a basketball player who scored 13 out of 20 attempts.

To represent this as a percentage, Kira sets up an equivalent ratio in the form of 13/20 = m/n, where m represents the successful throws as a part of a hundred (percentage) and n is the total in percentage form, which is 100.

Since a percentage is essentially a fraction out of 100, Kira should look for the ratio equivalent to 13/20 that has 100 as the denominator.

This can be found by multiplying both the numerator and the denominator by 5, since 20 * 5 = 100.

Consequently, 13 * 5 = 65.

So, the equivalent ratio that represents the percentage is 65/100.

Therefore, the values of m and n in Kira's equation are m = 65 and n = 100, which corresponds to option D.