Question

this graph shows the amount of rain that falls in a given amount of time. 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 choose... mm of rain falls every choose...

Explanation:

Step1: Calculate the slope

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(2,5)\) and \((x_2,y_2)=(4,10)\). Then \(m = \frac{10 - 5}{4 - 2}=\frac{5}{2}=2.5\).

Step2: Interpret the slope

The slope represents the rate of change. In the context of rain - fall, the \(y\) - axis is the amount of rain (in mm) and the \(x\) - axis is time (in hours). So a slope of \(2.5\) means that for every 1 hour, 2.5 mm of rain falls.

Answer:

The slope of the line is \(2.5\). This means that \(2.5\) mm of rain falls every \(1\) hour.