Question

Does the function y = 7(0.25)* model exponential decay or growth? Explain
how you know

Answer 1

• The function models exponential decay.

Explanation:

Exponential function is:

• y = abˣ, where a- coefficient, b- base, x- exponent

When the coefficient is positive, the function is a growth if b > 1 and a decay if 0 < b < 1.

Given function has:

• a = 7, b = 0.25

Since its coefficient is positive and base is between 0 and 1, it represents exponential decay.