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; [tex]\left[y = \left(\dfrac{4}{3} \right)^x\right][/tex]
Here; a = 1, b = [tex]\dfrac{4}{3} \right) > 1[/tex], therefore, the function does not represent an exponential decay
For option D, we have; [tex]\left[y = \left(\dfrac{7}{5} \right)^x\right][/tex]
Here; a = 1, b = [tex]\dfrac{7}{5} \right) > 1[/tex], therefore, the function does not represent an exponential decay
