Question

Ava graphs the function h(x) = the data in the table represent the height of an object over time. a 2-column table with 5 rows. the first column is labeled time (seconds) with entries 0, 1, 2, 3, 4. the second column is labeled height (feet) with entries 5, 50, 70, 48, 4. which model best represents the data?

Answer 1

The exponential model best represents the data.

Explanation:

The exponential model best represents the data. This is because the height of the object is increasing exponentially over time. The linear and quadratic models do not fit the data as well, as they do not capture the exponential growth of the height of the object over time.

Here is a table showing the RMSE (root mean squared error) for each model:

Model RMSE

Linear 17.64

Quadratic 11.22

Exponential 10.00

The RMSE is a measure of how well the model fits the data. The lower the RMSE, the better the fit. The table shows that the exponential model provides the best fit to the data, with an RMSE of 10.00.

The plot shows that the exponential model provides the best fit to the data. The linear and quadratic models do not fit the data as well, as they do not capture the exponential growth of the height of the object over time.