Which function models exponential decay y = 5 * {3} ^xy = 3 * {05}^xy = 05 * {5}^xy = 0.05 * {3}^xy = 05 * {3}^x

Question

which function models exponential decay
`y = 5 * {3} ^x`
`y = 3 * {05}^x`
`y = 05 * {5}^x`
`y = 0.05 * {3}^x`
`y = 05 * {3}^x`

Answer 1

We have the following:

When a number that is a decimal below is raised, it has a tendency to be a smaller number

for example

`0.4^3`

Therefore, the function that models exponential decay is

`y=3\cdot0.5^x`