Question

the data in the table represent the height of an object over time. height of an object

time (seconds)	height (feet)
1	50
2	70
3	48
4	4

which model best represents the data?
○ quadratic, because the height of the object increases or decreases with a multiplicative rate of change
○ quadratic, because the height increases and then decreases
○ exponential, because the height of the object increases or decreases with a multiplicative rate of change
○ exponential, because the height increases and then decreases

Explanation:

Step1: Analyze data trend

The height first increases (from 5 to 50 to 70) then decreases (from 70 to 48 to 4). Exponential functions have a multiplicative rate - of - change and usually keep increasing or decreasing. Quadratic functions can have a maximum or minimum point, which is consistent with the data trend.

Answer:

quadratic, because the height increases and then decreases