Rate of Change

[brendah98]

Hello, im struggling with this question, could somebody help me pls ?

Suppose the number of people in a town of 60, 000 who have heard an important news bulletin within t hours of its first broadcast is N (t) = 60,000 (1^e-0.3t). Find the rate of change of the number of informed people after 5 hours. Round your answer to two decimal places.
Thank you

 

[ksdhart2]

Well, since you've shown no work of your own, I'm forced to assume you have none to show and you're stuck at the very beginning. That's okay, we can work with that. A good first step in any math problem is to carefully read the text and see if there's any terms you're unfamiliar with:

Find the rate of change

The phrase "rate of change" is used a lot, so you should definitely know what it means. Specifically, it indicates that the problem will involve a derivative. Have you learned anything about derivatives?

of the number of informed people after 5 hours

"After 5 hours," here's another key part of the problem. This tells you that you want to (do what?) at the point \(t = \text{???}\).

Once you've studied up and reviewed yourself on derivatives, both in general and at specific points, go ahead and give this problem your best shot. But when you do reply back, please comply with the rules as laid in the Read Before Posting thread that's stickied at the top of each sub-forum (that you've definitely already read, right? ) and share with us all of the work you've done on this problem, even the parts you know for sure are wrong. Thank you.