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\n| time in minutes (x) | distance in meters (y) |\n| ---- | ---- |\n| 1 | 1,200 |\n| 2 | 2,400 |\n| 3 | 3,600 |\n| 4 | 4,800 |\n$\frac{1}{900}$ minutes per meter\n$\frac{1}{1,200}$ minutes per meter\n900 meters per minute\n1,200 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\n| time in minutes (x) | distance in meters (y) |\n| ---- | ---- |\n| 1 | 1,200 |\n| 2 | 2,400 |\n| 3 | 3,600 |\n| 4 | 4,800 |\n$\frac{1}{900}$ minutes per meter\n$\frac{1}{1,200}$ minutes per meter\n900 meters per minute\n1,200 meters per minute

Answer

Explanation:

Step1: Recall rate - of - change formula

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

Step2: Select two points

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

Step3: Calculate the rate of change

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

Answer:

1,200 meters per minute