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The polynomial

y=−0.73x4+3.1x3+26.5

describes the billions of flu virus particles in a person’s body x days after being infected. Find the number of virus particles, in billions, after 3 days.

There are billion virus particles in a person’s body 3 days after being infected.

Respuesta :

There will be [tex]51.07[/tex] billion virus particles in a person’s body 3 days after being infected.

Step-by-step explanation:

Step 1:

[tex]y=-0.73 x^{4}+3.1 x^{2}+26.5[/tex]

The number of flu particles in a person's body in the billions is represented by y and x represents the number of days after which they have been infected.

So if we need to calculate the number of flu particles in a person's body at any instant of time we just substitute the value of x in y.

Step 2:

To calculate the number of flu virus particles in a person's body after 3 days, we must substitute [tex]x=3[/tex] in y.

[tex]y=-0.73(3)^{4}+3.1(3)^{3}+26.5=-59.13+83.7+26.5=51.07[/tex]

So 3 days after being infected there will be [tex]51.07[/tex] billion flu virus particles in that particular person's body.