Question

Please help!

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 ___

This means that ___ mm of rain falls every ___

Answer 1

the slope is 5/2. count up 5 then go right 2. this means that 5 mm of rain falls every 2 hrs

Answer 2

To find the slope, we use the formula for slope,

`m=\frac{y_(2)-y_(2)} {x_(2)-x_(1)}`

Letting the point (2,5) be
`(x_(1),y_(1))` and the point (4,10) be
`(x_(2),y_(2))`.

Now plugging in these values in the formula for slope, we get,

`m=(10-5)/(4-2) =(5)/(2)`. The slope is
`(5)/(2)`.

This basically means 5 mm of rain falls in every 2 hours, or 2.5 mm of rain falls every hour (
`(5)/(2) =2.5`)

ANSWER: Slope is
`(5)/(2)` and 5 mm of rain falls every 2 hours.