We have been given that a virus has infected 400 people in the town and is spreading to 25% more people each day. We are asked to write an exponential function to model this situation.
Since the number of infected people is increasing, so our model will be exponential growth model.
An exponential growth function is in form
, where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Let us convert 25% into decimal form.
![25\%=\frac{25}{100}=0.25](https://tex.z-dn.net/?f=25%5C%25%3D%5Cfrac%7B25%7D%7B100%7D%3D0.25)
The initial number of infected people is
, so our function would be
.
![y=400(1.25)^x](https://tex.z-dn.net/?f=y%3D400%281.25%29%5Ex)
To find the number of infected in 10 days, we will substitute
in our given formula as:
![y=400(1.25)^{10}](https://tex.z-dn.net/?f=y%3D400%281.25%29%5E%7B10%7D)
![y=400(9.3132257461547852)](https://tex.z-dn.net/?f=y%3D400%289.3132257461547852%29)
![y=3725.290298\approx 3725](https://tex.z-dn.net/?f=y%3D3725.290298%5Capprox%203725)
Therefore, there will be approximately 3725 infected people in 10 days.
Answer:
437
Step-by-step explanation:
Because if you multiply 63 x 2 = 126
then subtract that from 1000
and get 873
then divide that by 2 and you get 437
One fifth of 25 people is 5 people. 25 - 5 = 20.
So 80 total
1/4 gave speeches or 20 gave speeches
80-20=60
today 2/5 of 60 gave speeches
2/5 of 5=60 is the same as
2/5 times 60=120/5=24 who gave speeches
60-24=36
36 haven't give their speeches
Vertical lines are perpendicular to horizontal lines.
So the equation of the line is a vertical line that pass through (3,4).
(3,4) has an x-value of 3.
So the line, x=3 will go through it.
answer: x=3