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
85
1
103
2
121
3
139
4
157
(1 point)
A) quadratic; y = 18x2 + 85
B) quadratic; y = 85x2 + 18
C) linear; y = 18x + 85
D) exponential; y = 85 • 18x
To determine the type of function that best models the data, we can look for a pattern in the given values.
Upon observation, we can see that the height of the plant increases by 18 cm each year. This indicates a constant rate of increase, suggesting a linear relationship between the height and time.
Therefore, the correct answer is:
C) linear; y = 18x + 85