directions: find the rate of change (slope). then predict the next interval. miles per hour hours miles 2 70…

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points. Let $x$ be the number of hours and $y$ be the number of miles. Take two - points, say $(2,70)$ and $(4,140)$.

Step2: Calculate the rate of change (slope)

$m=\frac{140 - 70}{4 - 2}=\frac{70}{2}=35$ miles per hour.

Step3: Predict miles at 10 hours

We know the relationship is linear with a slope of 35. Using the point - slope form $y - y_1=m(x - x_1)$ or the fact that $y=mx$ (since when $x = 0,y = 0$). When $x = 10$, $y=35\times10 = 350$ miles.

Answer:

Rate of change/slope: 35 miles per hour Miles at 10 hours: 350 miles