The level of water in a draining pool can be modeled with the function d(t)=12(.72)^t, where d is the depth of water, measured in feet, and t is the amount of time it's been draining, measured in days. Inayah claims that the pool is draining at a rate of 1.36%per hour. Is she correct? Explain

The model of the level of water in a draining pool is an illustration of an exponential function.

Inayah's claim is incorrect, because the water drains at 28% per hour

The function is given as:

An exponential function is represented as:

Where r represents the rate.

So, by comparison

Collect like terms

Multiply both sides by -1

Express as percentage

This means that, the water drains at 28% per hour

Hence, Inayah's claim is incorrect

Read more about exponential functions at:

link

She is not correct, the claim is wrong

Step-by-step explanation:

Here, we want to check if a claim

made is correct

We can represent the exponential function as;

y = I( 1 - r)^t

So in this case;

1 - r = 0.72

r = 1 - 0.72

r = 0.28

This is same as 28%

So what this mean is that we expect a decrease of 28% per day

There are 24 hours on a day

So the decrease per hour will be 28%/24 = 1.167%

So as we can see the claim is wrong

good job you smart son of a gun you are smarter that einstein. 7