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?

Answer 1

Step-by-step explanation:

Given 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?

At first station let the number of gallons of gas she bought be x and at second station let the number of gallons of gas she bought be y.

According to question first gas station she charged was $3.50 per gallon and at second gas station she charged $4.00 per gallon.

Now total cost will be  

T = 3.50 x + 4.00 y

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

So T < = 45

3.50 x + 4.00 y <=45 ---------------1 (number of gallons of gas)

If she bought all number of gallons from second station then

4y <=45

So y< = 11.25

Since it cannot be negative we get

So 0 < = y < = 11.25 ----------------2 (represents all possible values of x)

Answer 2

Answer:

C 3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25

Step-by-step explanation: