Question

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Answer 1

Answer:

The equations that represent an exponential decay are;

A; [y = (0.1)ˣ]

B; [y = 2·(0.3)ˣ]

Step-by-step 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; $\left[y = \left(\dfrac{4}{3} \right)^x\right]$

Here; a = 1, b = $\dfrac{4}{3} \right) > 1$, therefore, the function does not represent an exponential decay

For option D, we have; $\left[y = \left(\dfrac{7}{5} \right)^x\right]$

Here; a = 1, b = $\dfrac{7}{5} \right) > 1$, therefore, the function does not represent an exponential decay