the graph shows the recorded heights of a plant in a soil experiment. which statements describe the plant…

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.

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

Answer:

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

Explanation:

Step1: Analyze the graph shape

The points on the graph form a straight - line pattern. In a linear function, the graph is a straight line. So the function is linear.

Step2: Check rate of change

The height of the plant increases by approximately the same amount each week. For example, from week 0 to week 1, the height increases by about 0.5 inches, and this pattern continues. A constant rate of change is a characteristic of a linear function. So the height increases at a constant rate of change.

Step3: Rule out other options

The graph does not have the parabolic shape of a quadratic function. The ratio of height and number of weeks is not constant (it is the slope which is constant for linear functions but not in the sense of a simple ratio). And clearly, there is a relationship between height and number of weeks as the height changes with time.