Question

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line 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

Answer: The required coordinate pair is given by

`(x,y)=(3.2,12)`

Explanation:

Since we have given that

Total cost of the gas put in his car = $12

Cost of gas per gallon = $3.75

Let the total cost of the gas be 'y'.

Let the number of gallons of gas be 'x'.

According to question, number of gallons of gas is given by

`\frac{\text{Total cost}}{\text{Cost of gas per gallon}}\\\\=(12)/(3.75)\\\\=3.2`

So, the number of gallons is 3.2 approximately.

Hence, the required coordinate pair is given by

`(x,y)=(3.2,12)`

Answer 2

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).