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#

Define variables first:

#h=# number of hits
#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" "larr# introduce a constant, #(k)#

#h = kb" "larr# find the value of #k# using the given values

#k= h/b = 1/5#

The formula now becomes: #h =1/5b#

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

#h =1/5(20)#

#h = 4#