Question

Billy is comparing gasoline prices at two different gas stationsAt the first gas station the equation c = 2.80g gives the relationship between g the number of gallons of gasoline and c the total cost in dollarsAt the second gas station the cost of 2.5 gallons of gasoline is $8.30 and a cost of $5 of gasoline is $16.60how much per gallon would Billy save by going to the less expensive gas station

Answer 1

Billy would save $0.52 by going to the less expensive gas station (which is the first gas station).

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Step-by-step explanation

At the first station,

c = 2.80g

c = cost of gasoline

g = number of gallons of gasoline

The cost of 1 gallon of gasoline at this station will be obtained by putting in g = 1

c = 2.80g

g = 1 gallon

c = 2.80 (1)

c = 2.80 dollars per gallon

Cost per gallon = 2.80 dollars

At the second station,

2.5 gallons = 8.30 dollars

5 gallons = 16.60 dollars

The cost of 1 gallon at this station will be

1 gallon = (8.30/2.5) = (16.60/5) = 3.32 dollars

Cost per gallon = 3.32 dollars

We can see that gasoline is cheaper at the first station and the difference in price per gallon (which is the amount that will be saved by going to the less expensive gas station) is

3.32 - 2.80 = 0.52 dollars

Hope this Helps!!!