Question

A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of cases was increasing by about 4% each day.† On April 1, 2003 there were 1,804 cases. Find an exponential model that predicts the number

Answer 1

Answer: The required exponential model is
`1804(1.04)^t`

Explanation:

Since we have given that

Initial cases = 1804

Rate of growth = 4%

Since it is increasing exponentially,

So, it becomes,

`A=ab^t`

Here, a = 1804

b =
`1+r=1+0.04=1.04`

So, it becomes,

`A=1804(1.04)^t`

Hence, the required exponential model is
`1804(1.04)^t`