Question

Which unit rate corresponds to the proportional relationship shown in the graph? Drag and drop the answer into the box to match the graph with its unit rate.

Answer 1

(8,10)
rise is 10
run is 8
10/8 is 5/4

y=(5/4)x
unit rate is 5/4

Answer 2

The unit rate is
`(5)/(4)`

Explanation:

we know that

The unit rate of the proportional relationship shown in the graph is equal to the slope of the line

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(0,0)\ B(8,10)`

Substitute the values

`m=(10-0)/(8-0)`

`m=(10)/(8)`

`m=(5)/(4)`

The equation of the linear direct variation is

`y=(5)/(4)x`