# Melinda is practicing her penalty kicks. She took 40 shots and only missed 8. Based on the data, how many penalty kicks will Melinda make if she takes 60 shots?

Her success (rate) chance is $\frac{40 - 8}{40} = \frac{32}{40} = \frac{4}{5}$

#### Explanation:

Therefore, she will make $\frac{4}{5} \cdot 60 = 48$ kicks if her success (rate) chance remains the same.

Mar 26, 2018

48

#### Explanation:

We can solve this in different ways:

1/

As direct proportion:

For direct proportion we have:

$y = \propto k x$

Where $k$ is the constant of variation:

Form given information:

If she took 40 shots and missed 8 the she made 32.

Let $y = 32$ and $x = 40$

$32 = 40 k \implies k = \frac{4}{5}$

So we have:

$y = \frac{4}{5} x$

For 60 shots, $x = 60$

$y = \frac{4}{5} \cdot 60 = \textcolor{b l u e}{48}$

So she will make 48 penalty kicks

2/

As a percentage:

She had 32 successes out of 40, this as a percentage is:

32/40 xx 100%=80%

We now find 80% of 60:

$\frac{80}{100} \times 60 = \textcolor{b l u e}{48}$

This also gives us the same result.