Question

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.

Explanation:

Step1: Check linearity

A linear function has a constant rate of change and its graph is a straight - line. Observing the points on the graph, we can see that they approximately form a straight - line pattern.

Step2: Check rate of change

The height of the plant increases as the number of weeks increases. To check the rate of change, we can calculate the difference in height over the difference in time for consecutive points. For example, from week 0 to week 2, height changes from 2 inches to 2.5 inches (a change of 0.5 inches in 2 weeks). From week 2 to week 4, height changes from 2.5 inches to 3 inches (a change of 0.5 inches in 2 weeks). The rate of change is approximately constant.

Answer:

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