SOLUTION: To travel a fixed distance, the number of gallons -N- of gasoline needed is inversely proportional to the miles per gallon rating -P- of the car. A car that gets 28 miles per gall

Algebra ->  Linear-equations -> SOLUTION: To travel a fixed distance, the number of gallons -N- of gasoline needed is inversely proportional to the miles per gallon rating -P- of the car. A car that gets 28 miles per gall      Log On


   

Question 916832: To travel a fixed distance, the number of gallons -N- of gasoline needed is inversely proportional to the miles per gallon rating -P- of the car. A car that gets 28 miles per gallon needs 22 gallons to travel the distance.
a)find an equation of variation
b)how much gas will be needed for a car that gets 77 miles per gallon?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
N, gallons needed for a given distance
P, fuel efficiency miles per gallon
Description: highlight_green%28N=k%2FP%29

Next, find k knowing that N=22 and P=28.

k=NP
k=22%2A28
k=616
EQUATION of VARIATION: highlight%28N=616%2FP%29