SOLUTION: If the amount of paint varies directly with the area to be painted and 2 gal covers 690 ft(squared), how much paint (to the nearest tenth of a gallon) will it take to cover the rem

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Question 1001144: If the amount of paint varies directly with the area to be painted and 2 gal covers 690 ft(squared), how much paint (to the nearest tenth of a gallon) will it take to cover the remaining 970 ft(squared)?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Give some variables, and then put the description into an equation to show the variation.

p, how much paint in gallons
A, how much area in square feet
k, a variation constant
p=kA---the model.

Find the value for k.
system%28p=2%2CA=690%2Ck=canBeFound%29
-
k=p%2FA
k=2%2F690
k=1%2F345
-
highlight%28p=%281%2F345%29A%29-----the more specific variation model

Find p for A=970*squarefeet.
p=970%2F345
p=194%2F69
highlight%28p=2.8%2Agallons%29