Question

this graph shows the number of laps that jan runs as her coach times her. what is the slope of the line and what does it mean in this situation? select from the drop - down menus to correctly complete each statement. the slope of the line is choose... this means that jan runs choose... laps every

Explanation:

Step1: Calculate the slope

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(2,4)\) and \((x_2,y_2)=(5,10)\).
\(m=\frac{10 - 4}{5 - 2}=\frac{6}{3}=2\)

Step2: Interpret the slope

The slope represents the rate of change. In this context, the \(y\) - axis is time (in minutes) and the \(x\) - axis is laps. The slope of \(2\) means that for every additional lap Jan runs, the time increases by \(2\) minutes.

Answer:

The slope of the line is \(2\). This means that Jan runs \(1\) lap every \(2\) minutes.