Chapter 2.2, Problem 83E

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337274203

Textbook Problem

**The 2014 Ebola Outbreak** In the first six months of the 2014 Ebola outbreak, the total number of reported cases was increasing at a continuous rate of about 72% per month.^{22} There were about 100 cases as of April 1, 2014. Find an exponential model in the form
**[HINT:** See Example 5.**]**

To determine

**To calculate:** The exponential model of the Ebola outbreak in the form of

(after *t* months after April 1, 2014) and to predict the number of cases as of 1 August 2014 if there were 100 cases as of April 2014 and it increases continuously at the rate of 72% per month.

Explanation

**Given Information:**

There were 100 cases as of April 2014 and it increases continuously at the rate of 72% per month.

**Formula used:**

The formula for exponential model is,

Here, *t* is the time in months after 1 April 2014.

The property of exponentials is,

**Calculation:**

Convert the rate of interest in the decimal form.

Consider the exponential model.

Since there were 100 cases as of April 2014 and it increases continuously at the rate of 72% per month.

Substitute

Use the formula

Thus substitute

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