Question

an oil spill covers 8 square miles. Measurements show that the area is tripling every 4 hrs. Find an exponential model for the area A (in mi2) of the oil spill as a function of time t (in hr) from the beginning of the spill. (Enter a mathematical expression.)

Answer 1

Answer: The exponential model for the area would be $8(0.75)^t$.

Step-by-step explanation:

Since we have given that

Initial square miles = 8

It gets tripled in every 4 hours.

So, in every 4 hours, it become 3.

In every 1 hour, it becomes $\dfrac{3}{4}$

So, According to question, an exponential model for the area would be

$Ab^t\\\\=8(\dfrac{3}{4})^t\\\\=8(0.75)^t$

Hence, the exponential model for the area would be $8(0.75)^t$