The table shows the height of a plant over time. Which type of function best models the data? Write an equation to model the data.
Year
Height
(cm)
0
84
1
103
2
122
3
141
4
160
(1 point)
a. linear; y = 19x + 84
b. quadratic; y = 84x2 + 19
c. exponential; y = 84 • 19x
d. quadratic; y = 19x2 + 84
In this case, the height of the plant is increasing over time, but not at a constant rate. Looking at the data, we can see that the increase in height is consistent and not proportional to the year. This suggests that the best model for the data is a quadratic equation.
The equation that best models the data is:
d. quadratic; y = 19x^2 + 84