Question

I have to find cars a speed in miles per hour

Answer 1

The graph in the picture shows the relationship between the distance traveled (y-axis) and the time (x-axis) that car A traveled.

The slope of the line represents the speed at which the car traveled. To determine the said speed you have to calculate the slope of the line.

-The first step is to determine two points of the line:

(x₁,y₁) → (2,80)

(x₂,y₂) → (0,30)

-The second step is to calculate the slope using the following formula:

`m=(y_1-y_2)/(x_1-x_2)`

Where

(x₁,y₁) represent the coordinates of one point of the line

(x₂,y₂) represents the coordinates of a second point of the line

Replace the formula with the coordinates of the points and calculate the slope:

`\begin{gathered} m=((80-30)mi)/((2-0)hr) \\ m=(50mi)/(2hr) \\ m=25(mi)/(hr) \end{gathered}`

The slope of the line, which represents the speed of the car, is 25 miles per hour