Confuse with the solution shown in the rates of change

Hi, I just to know why the solution of this last problem in rates of change for geometry is given like this:

Let each driver drives m miles per week. The fuel used by car A is m/10 The fuel used by car B is m/30 The fuel used by car C is m/50.

Stan saves m/10 - m/30 = m/15 gallons per week.

Ximena saves m/30 - m/50 = m/75 gallons per week.

This is the question being given: "Stan and Ximena both want more fuel efficient vehicles. Stan is going to switch from driving car C to car B and Ximena is going to switch from driving car B to car A. Is the following statement true or false?

Stan and Ximena will save the same amount of fuel."

I am really confuse as to why car A is m/10, car B is m/30, and car C is m/50. Even it says each represent m miles per week. Thanks for the help.

Easy Math Editor

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Comments

I assume you are referring to this problem.

$m/10$ represents the amount of fuel used by car A is per mileage....

Pi Han Goh - 3 years ago

Yes.

Caden Tan - 3 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$