the table shows the distance traveled over time while traveling at a constant speed. what is the rate of…

the table shows the distance traveled over time while traveling at a constant speed. what is the rate of change in the y - values with respect to the x - values? distance vs. time time in minutes (x) distance in meters (y) 1 1,200 2 2,400 3 3,600 4 4,800 1/900 minutes per meter 1/1,200 minutes per meter 900 meters per minute 1,200 meters per minute

the table shows the distance traveled over time while traveling at a constant speed. what is the rate of change in the y - values with respect to the x - values? distance vs. time time in minutes (x) distance in meters (y) 1 1,200 2 2,400 3 3,600 4 4,800 1/900 minutes per meter 1/1,200 minutes per meter 900 meters per minute 1,200 meters per minute

Answer

Answer:

D. 1,200 meters per minute

Explanation:

Step1: Recall rate - of - change formula

The rate of change of $y$ with respect to $x$ is $\frac{\Delta y}{\Delta x}=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points

Let's take $(x_1,y_1)=(1,1200)$ and $(x_2,y_2)=(2,2400)$.

Step3: Calculate rate of change

$\frac{y_2 - y_1}{x_2 - x_1}=\frac{2400 - 1200}{2 - 1}=\frac{1200}{1}=1200$ meters per minute.