Question

Determine whether the given exponential function represents growth or decay and determine the percentage rate of increase or decrease. 0,064x y = 5

Answer 1

The general exponential function can be expressed as,

$y=a^{kx}$

Here, a is the initial value when x=0, k is the rate of growth.

When k>0, there is exponential growth and when k<0, there is exponential decay.

The given function is,

$y=5^{0064x}$

Here, k=0064, whch is greater than 1.

So, it is exponential growth.