Question

for each scatter plot, decide what type of function you might choose as a model for the data. (a) scatter plot image linear function, of the form f(x) = mx + b cubic function, of the form f(x) = ax³ + bx² + cx + d exponential function, of the form f(x) = a·bˣ + c reciprocal function, of the form f(x) = \frac{a}{x} root function, of the form f(x) = a\sqrt{bx} + c

Explanation:

The scatter plot shows a curve that decreases rapidly at first, then the rate of decrease slows as x increases, which matches the shape of an exponential decay function (a type of exponential function).

Answer:

exponential function, of the form $f(x) = a \cdot b^x + c$