word problem help

[rachaelmaria7]

can someone help me i dont know what to do.......


The number of people, P, in a large office building, who will become infected by a strain of virus is given by:
P = 10e^0.478t - 10,
where t is in hours and t = 0 corresponds to the time that Infectious Ichabod enters the building at 8:00 am. How many people will be infected by 2:00 pm? Round to the nearest whole person.

a. 27
b. 58
c. 166
d. 202
e. 284
f. 448
g. 738
h. 1181
i. 2319
j. none of these

 

[jsbeckton]

you should really use () if 0.478t - 10 is not ALL in the exponent or is it?

if it is, then the anwser is none of the above, if not ( which I suspect is the case ) the anwser is there but not f.

there are 2 steps in solving this problem:

1) Solve for t with the given information.
2) Sub that number in the equation for t and solve for P.

 

[soroban]

Hello, rachaelmaria7!

Exactly where is your difficulty?

The number of people, P, in a large office building, who will become infected by a strain of virus

is given by: \(\displaystyle \;P\:=\:10e^{0.478t}\,-\,10\), where \(\displaystyle t\) is in hours

and \(\displaystyle t = 0\) corresponds to the time that Infectious Ichabod enters the building at 8:00 am.

How many people will be infected by 2:00 pm? Round to the nearest whole person.

a. 27 . b. 58 . c. 166 . d. 202 . e. 284 . f. 448 . g. 738 . h. 1181 . i. 2319 . j. none of these

From 8:00 am to 2:00 pm is 6 hours: \(\displaystyle t\,=\,6\).

How hard can it be???

\(\displaystyle P\;=\;10e^{(0.478\,\times\,6)}\,-\,10\;=\;166.0177941\)

Answer: \(\displaystyle \;166\) . . . answer (c)