Question

Which statement is true about the data?A. Steve runs faster his rate is 21 feet per secondB. Steve runs faster his rate is 42 feet per secondC. James runs faster his rate is 15 per secondD. James runs faster his rate is 60 feet per second

Answer 1

According to the given equation, James' rate is 15 feet per second.

Now, let's find Steven's rate

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the points (2,42) and (4,84), where

$\begin{gathered} x_1=2 \\ x_2=4 \\ y_1=42 \\ y_2=84 \end{gathered}$$m=\frac{84-42}{4-2}=\frac{42}{2}=21$

As you can observe, Steve runs faster his rate is 21 feet per second.

A is the answer.

Now, we have to use the point-slope formula to find Steven's equation

$\begin{gathered} y-y_1=m(x-x_1) \\ y-42=21(x-2) \\ y=21x-42+42 \\ y=21x \end{gathered}$

The image below shows the graph of both lines.

As you can observe in the graph, James will catch him up at (10,210).