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?

Question

2652 views around the world

You can reuse this answer
Creative Commons License

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#