Question

A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis.
The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply.

The function is linear.
The function is quadratic.
The height increases at a constant rate of change.
The ratio of height and number of weeks is constant.
There is no relationship between height and number of weeks.

Answer 1

Select:
- The function is linear.
- The height increases at a constant rate of change.

Reason: the plotted points lie on a straight line so the relationship is linear and the slope (rate of change) is constant. The ratio height/weeks is not constant because the line does not go through the origin, so "ratio is constant" is false. It is not quadratic, and there is clearly a relationship, so the last option is false.