Question

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?

Answer 1

Berto can purchase 12/3.75 gallons, this is 3.2 gallons of gas. So the coordinate on this line would be (3.2, 12).
Good Luck! :D

Answer 2

The required ordered pair is (3.2,12).

Explanation:

Let the x be the relating number of gallons of gas and y be the total cost of the gas.

It is given that the cost of gas is $3.75 per gallon. Total cost of x gallons is

`y=3.75x`

Berto has $12 to put gas in his car.

`y\leq 12`

`3.75x \leq 12`

Divide both sides by 3.75.

`x \leq 3.2`

The maximum number of gallons of gas is 3.2 and the total cost of the gas is 12.

Therefore the required ordered pair is (3.2,12).