Answer:
The correct option is 3.
Step-by-step explanation:
Let the number of gallons of gas she bought at the first station be x and the number of gallons of gas she bought at the second station be y.
It is given that the first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.
Total cost is defied as
[tex]T=3.50x+4.00y[/tex]
Alina spent no more than $45 on gas for a road trip.
[tex]T\leq 45[/tex]
[tex]3.50x+4.00y\leq 45[/tex] .... (1)
If she bought all number of gallons from the second station, then
[tex]4y\leq 45[/tex]
Divide both sides be 4.
[tex]y\leq 11.25[/tex]
Number of gallon can not negative.
[tex]0\leq y\leq 11.25[/tex] .... (2)
Inequality (1) relates the number of gallons of gas and inequality (2) represent all the possible values of x.
Therefore, the correct option is 3.
