Answer:
[tex]\$0.52\ per\ gallon[/tex]
Step-by-step explanation:
Let
g ----> number of gallons of gasoline
c ---> the total cost in dollars
we have
First gas station
[tex]c=2.80g[/tex]
This is a proportional relationship between the variables c and g
The constant of proportionality k or unit rate (slope) is equal to
[tex]k=\$2.80\ per\ gallon[/tex]
Second gas station
we have the ordered pairs
(2.5,8.30) and (5,16.60)
This is a proportional relationship between the variables c and g
The constant of proportionality k is equal to
[tex]k=\frac{16.6}{5}=\$3.32\ per\ gallon[/tex]
the linear equation is
[tex]c=3.32g[/tex]
To find out how much per gallon would Billy save, subtract the unit rate of the Gas station 1 from the unit rate of the Gas station 2
so
[tex]\$3.32\ per\ gallon-\$2.80\ per\ gallon=\$0.52\ per\ gallon[/tex]
