Question

What value of m would make this function an exponential decay?f(t)=(3/m)^ta) 3b) 2c) 1 d) 4

Answer 1

An exponential decay function is a specific type that has the form

$y=b^x$

with 0

That is, we must find b such that b is between 0 and 1. In our case,

$b=\frac{3}{m}$

then, b is less than one if and only if m>3. So, the answer is 4, which corresponds to option d.