Select the correct answer. Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each
hour after consumption of one cup is 9% less than the previous hour.
If Haley conducted her study for a total of 10 hours, which inequality represents the range of the exponential function that models this
situation?
150 s f(x) s 355.1
58.41 s f(x) < 150
O s f(x) s 10
0 <f(x) s 150
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The correct option is (B).

Step-by-step explanation:

The exponential decay function is as follows:

Here,

y = final value

a = initial value

r = decay rate

t = time taken

It is provided that:

a = 150 mg

r = 9% = 0.09

Then the next hour the amount of caffeine in the body will be:

Then after two hours the amount of caffeine in the body will be:

Similarly after 10 hours the amount of caffeine in the body will be:

Then the inequality representing the range of the exponential function that models this  situation is:

Thus, the correct option is (B).

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled