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?

Answers
A)3.5x + 4y ≥ 45, y ≥ 11.25
B)3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375
C)3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25
D)3.5x + 4y ≤ 45, y ≥ 10.375

Answer 1

 the correct answer is c

Answer 2

Option C is correct.

Explanation:

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

Let gallons bought at first station be = x

Let gallons bought at the second station be = y

The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.

Equations become: 3.50x and 4y

Total money spent on gas is no more than $45.

So, complete equation is given as:

`3.50x+4y \leq 45`

To know the possible value of y let us assume she bought all the gas from second station.

`4y\leq 45`

`y\leq 11.25`

As the number of gallons can not negative, range is:

`0\leq y\leq 11.25`

Therefore, option C is correct.