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Describe a situation that models a linear pattern and then describe a situation that models a nonlinear pattern. Do not state which situation is linear and which is nonlinear. Your classmates will need to determine which is which and then write a function that models the linear situation. Your classmates will also need to write 1 ordered pair that is a solution to the linear function and explain its meaning in the context of the situation.

User Thor
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While linear equations are always straight, nonlinear equations often feature curves.
User Lior Erez
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Answer:

When we talk about linear patterns, we refer to those events where events are related with a linear proportion, that is, if one magnitude increases, the other one will to, or if one magnitude increases the other would decrease, and this behaviour with a linear function which is represented as a line.

So, one example of linear model would be speed, which relates distances and time in a linear behaviour, which function is


s=(d)/(t)

So, if one ball has a speed of 3 meters per second, the function would be


3=(d)/(t)\\ d=3t

Where
t represents the independent variable (horizontal axis) because it represents time, and
d is distance, which is a dependent variable.

On the other hand, a non linear model could be population growth, which is an exponential beahaviour. It's not represented with a linear function, that's why is not linear.

An example of a function that represents population growth is


N(t)=N_(0) e^(rt)

Where
t is time (horizontal axis),
r is growth rate,
N_(0) is the initial population and
N(t) is the population after
t time.

A specific example is


N(t)=12e^(0.012t)

At last, each function graph is attached, there you could see a lot better, the linear and non-linear behaviour.

Describe a situation that models a linear pattern and then describe a situation that-example-1
Describe a situation that models a linear pattern and then describe a situation that-example-2
User Ceo
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