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Suppose a flu epidemic has broken out in a math 120 courses at your school. Assume a total of 20 people have the flu as of today and that each day the number of people who have the flu doubles. Let f(t) represent the number of people who have the flu at t days since today. 1. Find an equation for f(t). 2. According to f(t), how many people at your school will have the flu in 10 days from today?

Sagot :

We know that today 20 people have the flu and that this numbers double each day. This means that the second day we will have:

[tex]2\cdot20[/tex]

the third day we will have:

[tex]2\cdot(2\cdot20)[/tex]

The fourth day we will have:

[tex]2\cdot(2\cdot(2\cdot20))[/tex]

And so on. From this we can conclude that in the t day we will have:

[tex]f(t)=20\cdot2^t[/tex]

Now, in the 10th day we will have:

[tex]f(10)=20\cdot2^{10}=20480[/tex]

20480 people with the flu.

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