Question

Guys I need help pleaSe !!!

Answer 1

The equations that represent an exponential decay are;

A; [y = (0.1)ˣ]

B; [y = 2·(0.3)ˣ]

Explanation:

An exponential decay is given by the following formula;

y = a·bˣ

Where;

b < 1

For option A, we have; [y = (0.1)ˣ]

Here; a = 1, b = 0.1 < 1, therefore, the function represents an exponential decay

For option B, we have; [y = 2·(0.3)ˣ]

Here; a = 2, b = 0.3 < 1, therefore, the function represents an exponential decay

For option C, we have;
`\left[y = \left((4)/(3) \right)^x\right]`

Here; a = 1, b =
`(4)/(3) \right) > 1`, therefore, the function does not represent an exponential decay

For option D, we have;
`\left[y = \left((7)/(5) \right)^x\right]`

Here; a = 1, b =
`(7)/(5) \right) > 1`, therefore, the function does not represent an exponential decay