Which of these equations is a non-proportional relationship?
y = −15x
y = 23x
y = 10x + 10
y=4.08x
3 answers
The equation y = 10x + 10 is a non-proportional relationship.
What is the unit rate of height per day based on the graph?
(5,1) (15,3) (30,6)
(5,1) (15,3) (30,6)
To find the unit rate of height per day, we can determine the change in height divided by the change in days.
From (5,1) to (15,3), the change in height is 3 - 1 = 2 units, and the change in days is 15 - 5 = 10 days. Therefore, the unit rate is 2/10 = 0.2 units per day.
From (15,3) to (30,6), the change in height is 6 - 3 = 3 units, and the change in days is 30 - 15 = 15 days. Therefore, the unit rate is 3/15 = 0.2 units per day.
Therefore, the unit rate of height per day based on the graph is 0.2 units per day.
From (5,1) to (15,3), the change in height is 3 - 1 = 2 units, and the change in days is 15 - 5 = 10 days. Therefore, the unit rate is 2/10 = 0.2 units per day.
From (15,3) to (30,6), the change in height is 6 - 3 = 3 units, and the change in days is 30 - 15 = 15 days. Therefore, the unit rate is 3/15 = 0.2 units per day.
Therefore, the unit rate of height per day based on the graph is 0.2 units per day.