# Algebra Worksheet word math problems

*label*Mathematics

*timer*Asked: Jan 6th, 2018

*account_balance_wallet*$20

**Question description**

First you will focus on actual viral growth inside a human body. Pick a virus and research its growth rate. If you are having trouble finding a growth rate for a specific virus, make up your own growth rate. Use your growth rate to create an exponential growth function. Make a table for the number of virions (virus particles) that can grow inside a human body. Start with one virion on the first day, and continue the table for two weeks. How does that compare to the number of cells in a person’s body? You will submit the following. a. a comparison to the overall number of cells b. a growth function c. a table of virions

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## Tutor Answer

Hi, I am done with this one. Please check the attached file. Sorry it took a while. The assignment is quite long :)If you have any concern, please let me know immediately so that I can do something about it. However, I might not be able to respond so fast this time since it is already past midnight at the place where I am in. But once I get back to my computer and see that you have concerns, I will address it immediately for sure.

1. First you will focus on actual viral growth inside a human body. Pick a virus and

research its growth rate. If you are having trouble finding a growth rate for a specific

virus, make up your own growth rate. Use your growth rate to create an exponential

growth function. Make a table for the number of virions (virus particles) that can grow

inside a human body. Start with one virion on the first day, and continue the table for

two weeks. How does that compare to the number of cells in a person’s body? You will

submit the following.

a. a comparison to the overall number of cells

b. a growth function

c. a table of virions

SOLUTION:

In looking for a literature, it is difficult to find the growth rate of a specific virus due to the

differences from one person to the other. A laboratory scale experiment is also not

freely available.

Suppose that we have an Ebola virus that grows in such a way that it doubles in number

every 8 hours. With this data, it is possible to generate an exponential function with the

form:

N(t) = N0(2)t/d

Where

N(t) is the number of virus at time t

N0 is the initial number of virus (at time zero)

t is the time after time zero

d is the time it takes for the population of the virus to double

In the given case, N0 = 1, d = 8 hours which means that there will be 2 viruses after 8

hours, 4 viruses after 16 hours and so on.

Starting with a single virus, the population grows as shown in the following table:

Day

Viral Count

0

1

1

8

2

64

3

512

4

4096

...

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