Question

Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y? 3.5x + 4y ≥ 45, y ≥ 11.25 3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 3.5x + 4y ≤ 45, y ≥ 10.375

Answer 1

3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25 (c)

Answer 2

The correct option is 3.

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

`T=3.50x+4.00y`

Alina spent no more than $45 on gas for a road trip.

`T\leq 45`

`3.50x+4.00y\leq 45` .... (1)

If she bought all number of gallons from the second station, then

`4y\leq 45`

Divide both sides be 4.

`y\leq 11.25`

Number of gallon can not negative.

`0\leq y\leq 11.25` .... (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.