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?

Respuesta :

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:

The required ordered pair is (3.2,12).

Step-by-step 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

[tex]y=3.75x[/tex]

Berto has $12 to put gas in his car.

[tex]y\leq 12[/tex]

[tex]3.75x \leq 12[/tex]

Divide both sides by 3.75.

[tex]x \leq 3.2[/tex]

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).