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#1 2024-03-05 05:16:10

Guest123
Guest

Help with functions

There are two situations I want to express as a function and make a graph.
The assignment is about viruses that spread.
Country A) Here, the number of infected increases with the number of days in the epidemic multiplied by itself.
Country B) Here we see that the number of infected people doubles every day.

If someone can help, thank you smile

#2 2024-03-05 09:28:59

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 167

Re: Help with functions

I wonder what the number of infected people (y) is supposed to be on the first day (x=1).
Is it y=1 for x=1?

Last edited by KerimF (2024-03-05 09:29:50)

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#3 2024-03-05 13:17:58

amnkb
Member
Registered: 2023-09-19
Posts: 253

Re: Help with functions

Im not sure what you mean for A.

For B do doubles:
x=0,y=0
x=1,y=2
x=2,y=4
That's 3 pts
You can find strait line equation

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#4 2024-03-05 18:33:33

nycguitarguy
Member
Registered: 2024-02-24
Posts: 552

Re: Help with functions

Part A of this question is poorly worded. I  trying to make sense of the directions.

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#5 2024-03-05 20:38:10

Bob
Administrator
Registered: 2010-06-20
Posts: 10,199

Re: Help with functions

hi Guest123

Welcome to the forum.

Country A) Here, the number of infected increases with the number of days in the epidemic multiplied by itself.

I'll assume that the number at the start is A, and use d for the number of days.

Multiply by itself: I think this means d squared so we have the formula

This graph starts at d = 1.  If you want it to start at day 0 then change the formula to

The graph for this is a quadratic. 

Country B) Here we see that the number of infected people doubles every day.

At the start I'll again say A people infected on day 0. Next day (d=1)  2A. Next day (d=2) 4A. Next day (d=3) 8A.

That results in the formula:

The graph for this is exponential.

https://www.mathsisfun.com/data/function-grapher.php


Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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