Question

What is the unit rate of height per day based on the graph?

(5,1) (15,3) (30,6)

Answer 1

To find the unit rate of height per day based on the graph, we need to find the slope of the line passing through the points (5,1), (15,3), and (30,6).

First, let's find the slope between the points (5,1) and (15,3):

Slope = (change in y)/(change in x)
Slope = (3-1)/(15-5)
Slope = 2/10
Slope = 1/5

Next, let's find the slope between the points (15,3) and (30,6):

Slope = (change in y)/(change in x)
Slope = (6-3)/(30-15)
Slope = 3/15
Slope = 1/5

Since the slopes between both pairs of points are the same, we can conclude that the line is a straight line and has a constant unit rate of 1/5 units of height per day.