Exponential growth and exponential functions

[xxbluegirl]

We are going to model an infection that spreads through a population with a single model. We assume the infection is not deadly and nothing is done to stop it. Maybe it's a common cold?
The infection rate has a 14% increase. That is, it has a growth factor of 1.14 per day.
There are 250,000 people in Sweden.
It starts with 2 people returning to Sweden from their holidays in Scotland. They are cold.
How long will it take before all of Sweden has had the cold? Write the function too

I have trouble answering, please help
It is going to be delivered today

 

[Dr.Peterson]

Please show us what you tried, and where you had trouble. Otherwise, we don't know what help you need.

Can you write what an exponential model for this would look like?

 

[xxbluegirl]

Is this correct 1.14^x + 2

 

[xxbluegirl]

I nned help solving this task, I dont know how to start other than that function

 

[MarkFL]

No, the number infected \(I\) at time \(t\) in days would be given by:

[MATH]I(t)=I_0(1.14)^t[/MATH]

 

[xxbluegirl]

I didn't really understand, because i am supposed to put the function in a website called geogebra.

 

[firemath]

I didn't really understand, because i am supposed to put the function in a website called geogebra.

Then put it in their function modeling tool.

 

[xxbluegirl]

How can i find out how long will it take before all of Sweden has had the cold?

 

[MarkFL]

How can i find out how long will it take before all of Sweden has had the cold?

Set:

[MATH]I(t)=250000[/MATH]
[MATH]2(1.14)^t=250000[/MATH]
and solve for \(t\).

 

[xxbluegirl]

Thank u