Question

Finding a Specific Ordered Pair 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

To find the ordered pair that includes the greatest amount of gas Berto can buy, divide the total amount of money he has by the cost per gallon of gas.

Step-by-step explanation:

To find the ordered pair that includes the greatest amount of gas Berto can buy, we need to determine the maximum number of gallons of gas he can purchase with $12.

Gas costs $3.75 per gallon, so we divide the total amount of money Berto has by the cost of one gallon of gas to find the maximum number of gallons he can buy:
Number of gallons (x) = Total cost of gas (y) / Cost per gallon
Substituting the given values:
x = $12 / $3.75
x = 3.2 gallons

Therefore, the ordered pair that includes the greatest amount of gas Berto can buy is (3.2, $12).

Answer 2

The ordered pair relating number of gallons of gas, x, to the total cost of the gas, y is (3.2, 12).

An ordered pair refers to the coordinates of a point such that “x” is the x-coordinate and “y” is the y-coordinate.

The total budget that Berto has for gas in his car = $12

The unit cost of gas per gallon = $3.75

Let the total cost of gas = y

Let the number of gallons of gas = x

The maximum quantity of gas that Berto can afford = Total budget for gas/ cost per gallon

= 12 / 3.75 = 3.2 gallons

Thus, the coordinate or ordered pair for gallons of gas and Berto's budget (x, y) = (3.2, 12).