Answer:
[tex]y=13\text{ miles per gallon}[/tex]
Step-by-step 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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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:
[tex]y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}[/tex]
Subtract and reduce:
[tex]y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}[/tex]
And we're done!
