# The average number of free throws made during a basketball game varies directly with the number of hours of practice during a week. When a player practices 6 hours a week, she averages 9 free throws a game. How do you write an equation relating the hours?

## *Write an equation relating the hours of practice and free throws made**

Jun 13, 2018

$f = 1.5 h$

#### Explanation:

$\text{let f represent free throws and h hours practiced}$

$\text{the statement is } f \propto h$

$\text{to convert to an equation multiply by k the constant}$
$\text{of variation}$

$f = k h$

$\text{to find k use the given condition}$

$h = 6 \text{ and } f = 9$

$f = k h \Rightarrow k = \frac{f}{h} = \frac{9}{6} = \frac{3}{2} = 1.5$

$\text{equation is } \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{f = 1.5 h} \textcolor{w h i t e}{\frac{2}{2}} |}}}$