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 :

Answer:This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Step-by-step explanation: 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).

r3t40

Basically what this assignment sais is to write a function, input the data and write input and output as an ordered pair.

[tex]f(x)=3.75x[/tex]

Where f(x) equals y and 3.75 times x is cost of number of gallons x.

So we have:

[tex]

f(x)=12\Longrightarrow 12=3.75x \\

12=3.75x\Longrightarrow x=\dfrac{12}{3.75}=3.2

[/tex]

So the ordered pair is in a form of:

[tex](x, f(x))\Longleftrightarrow(x,y)[/tex]

We have x is 3.2 and y is 12. So the ordered pair is:

[tex]\boxed{(3.2, 12)}[/tex]

Hope this helps.

r3t40