Question

Which equation represents exponential decay?

O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)

Answer 1

The function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Explanation:

We know that an exponential function is of the form

y = abˣ

where 0 < b < 1

• Please note that an exponential function cannot have a base of 0, 1, or a negative value.

Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as

here 0 < b < 1 and a > 0

Therefore, the function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.