Question

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

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

Answer 1

Explanation:

Given is a table as follows:

Time (seconds) Height (feet)

0 5

1 50

2 70

3 48

4 4

Let us plot these as scatter plots and try to find out approximately the shape of the distribution

FInd enclosed the scatter plot

We find that the height increases and then decreases.

Answer 2

Answer: The correct answer is: quadratic, because the height increases and then decreases

We are given the below data:

Time (seconds) Height (feet)

0 5

1 50

2 70

3 48

4 4

We know that quadratic model is used in situations when the values increase and then decreases.

Looking at the given, we clearly see the height variable first increase and then goes on decreasing as the time in seconds increases. Therefore, the appropriate model would be quadratic model here and the correct option is:

quadratic, because the height increases and then decreases