A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body is metabolized and eliminated. a)Let C represent the amount of caffeine in the body in mg and f represent the number of hours since a cup of coffee was consumed. Write C as a function of r.
b) How much caf[eine is in the body after 5 hours?

a)

And for this case we can rewrite the model like this:

If we integrate both sides we got:

If we use exponentials for both sides we got:

For this case and r = -0.16

So then our model would be given by:

Where t represent the number of hours

b)

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

And for this case we can rewrite the model like this:

If we integrate both sides we got:

If we use exponentials for both sides we got:

For this case and r = -0.16

So then our model would be given by:

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9

welll its a very hard question but ill

step-by-step explanation:

first you take the 6 dollars and add 10 to it then add the 50 to that then multiply by 8 with xy and your answer will be

hope this