Question

In a basketball game Caroline made 14 out of 20 shots and I made 16 out of 24 shots explain how you can tell if the two players made a proportional number of shots

Answer 1

Answer:

NOT proportional

Step-by-step explanation:

In this problem:

- Caroline made 14 out of 20 shots

- You made 16 out of 24 shots

We want to see if the fractions of succesfull made shots is proportional or not.

We can do it as follows:

- The fractions of shots made by Caroline is:

$c=\frac{14}{20}$

We can simplify this fraction by dividing both numerators and denominators by 2; we get:

$c=\frac{7}{10}$

Which cannot be further simplified.

- Instead, the fractions of shots made by you is:

$y=\frac{16}{24}$

We can simplify this fraction by dividing both numerator and denominator by 8; then we get:

$y=\frac{2}{3}$

Which cannot be further simplified.

By comparing the two fractions, we notice that they are different: therefore, the two fractions are NOT proportional.