Question

1. when data appears linear, you can use a linear function to create a line of best fit. but sometimes data is not linear! in these cases, you use other types of functions to better model the data. these include exponential functions. 1a) look at each scatterplot that follows and select the function that could model the data the best. a. exponential function b. neither c. linear function

Explanation:

To solve this, we analyze the scatter plot (from the image description, the points seem to follow a curve typical of exponential growth/decay rather than a straight line).

• A linear function has a constant rate of change (straight line), but the scatter plot's points don't align linearly.
• An exponential function has a constant multiplicative rate of change (curved, increasing/decreasing rapidly), which matches the pattern of the points here.
• "Neither" would be incorrect as the pattern fits exponential.

The scatter plot's points follow a curved pattern, characteristic of an exponential function (not linear). So the best model is an exponential function.

Answer:

a. exponential function