Question

The N71-90 virus will give an infected person a mild rash on their arms once the person has 1 billion of the virus cells in their body. After an initial infection with just one cell, each virus cell will divide into two cells every four hours. After 30 divisions there are 1,073,741,824 cells and the rash starts. Once the rash starts, the immune system kicks in and kills all of the virus cells within an hour. The number of virus cells in the body can be determined using the function below.

v(h)=2\frac{h}{4}

In this function, h is the number of hours after infection. If Jolene is infected by one virus cell, how many virus cells will she have after 8 divisions?

A. 4
B. 256
C. 512
D. 8

Answer 1

• B. 256

Explanation:

Given function:

• v(h) = 2^(h/4)

It can be rewritten as:

• v(d) = 2^d, where d- number of divisions

If number of divisions is 8, then:

• v(8) = 2^8 = 256 virus cells

Correct choice is B

Answer 2

Solution given:

v(h)=
`{2}^{(h)/(4)}`

we can write it as

v(d)=
`{2}^(d)`

now

v(8)=
`{2}^(8)`=256 virus cells will she have after 8 divisions.