Question

for the scatter plot given to the right, determine whether an exponential function, a logarithmic function, or a linear function is the best choice for modeling the data. choose the correct answer below. a. an exponential function b. a logarithmic function c. a linear function

Explanation:

• Linear function: A linear function has a constant rate of change. In a scatter - plot, the points of a linear function can be approximated by a straight line.
• Exponential function: An exponential function has a variable rate of change that is proportional to the function's current value. The scatter - plot of an exponential function either grows or decays rapidly.
• Logarithmic function: A logarithmic function has a rate of change that decreases as the input increases.

Looking at the given scatter - plot, the points seem to follow a pattern that can be approximated by a straight line. There is no indication of rapid growth (as in an exponential function) or a decreasing rate of change (as in a logarithmic function).

Answer:

C. a linear function