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?

1 Answer
Jul 21, 2017

h=4h=4

Explanation:

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 prop b" "larrhb introduce a constant, (k)(k)

h = kb" "larrh=kb find the value of kk using the given values

k= h/b = 1/5k=hb=15

The formula now becomes: h =1/5bh=15b

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

h =1/5(20)h=15(20)

h = 4h=4