Question

NEED HELP! ASAP! 50 POINTS!

(0,11) (3,50) x is measured in gallons and y is measured in miles. Find the rate of change in y relative to x for the ordered pairs. Include unit of measurement in your answer.

Answer 1

`y=13\text{ miles per gallon}`

Explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

`y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}`

Subtract and reduce:

`y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}`

And we're done!