The constant speeds at which Bill and Kevin drove their cars are the slopes of the graph and the table, respectively.
The true statement is (c) Bill drove at a rate that was 10 miles per hour faster than the rate Kevin drove
On the graph that represents Bill's trip, we have the following points
[tex]\mathbf{(x,y) \to (0,0), (2,110)}[/tex]
The slope (m) is then calculated using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{110 - 0}{2-0}}[/tex]
[tex]\mathbf{m = \frac{110}{2}}[/tex]
Divide
[tex]\mathbf{m = 55}[/tex]
This means that: Bill's constant speed is 55 miles per hour
On the graph that represents Kevin's trip, we have the following points
[tex]\mathbf{(x,y) \to (0,0), (2,90)}[/tex]
The slope (m) is then calculated using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{90 - 0}{2-0}}[/tex]
[tex]\mathbf{m = \frac{90}{2}}[/tex]
Divide
[tex]\mathbf{m = 45}[/tex]
This means that: Kevin's constant speed is 45 miles per hour
By comparison:
55 is greater than 45 by 10
This means that:
Bill drove faster than Kevin at 10 miles per hour
Hence, the true statement is (c)
Read more about constant speed and slopes at:
https://brainly.com/question/13281781
