Tommy averages one hit for each five times at bat. How do you use a direct variation formula to determine how many hits would be expected from Tommy after 20 times at bat?

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Answer 1 · 2017-07-21T08:49:46

$h = 4$ $h=4$

Define variables first:

$h =$ $h=$ number of hits
$b =$ $b=$ number of times at bat.

As the number of times at bat increases, so does the number of hits. This is a direct proportion.

$h \propto b \leftarrow$ $h prop b" "larr$ introduce a constant, $(k)$ $(k)$

$h = k b \leftarrow$ $h = kb" "larr$ find the value of $k$ $k$ using the given values

$k = \frac{h}{b} = \frac{1}{5}$ $k= h/b = 1/5$

The formula now becomes: $h = \frac{1}{5} b$ $h =1/5b$

Now that you have a formula you can use it to answer the question where $b = 20$ $b=20$

$h = \frac{1}{5} (20)$ $h =1/5(20)$

$h = 4$ $h = 4$