Question

For y = 10*0.5^x , doesthis model exponential growth or decay? Explain how you know.

Answer 1

Exponential decay

Step-by-step explanation:

The exponential functions have the following form:

`y=a\cdot b^x`

If b is a number greater than 1, the equation models exponential growth, and if b is lower than 1, the equation models an exponential decay.

Since the equation is:

`y=10\cdot0.5^x`

We can say that the value of b is 0.5. 0.5 is lower than 1, so this equation models exponential decay.