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# y = 10,000 + 350x What kind of function is this? like is it none linear or linear. What is it?

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What kind of function is y = 10,000 + 350x

Jun 27, 2017

#2
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This is a linear function.

A linear function is a type of function where its resulting graph is a straight line. Linear functions have a standard form.

\(f(x)=mx+b\)

f(x) is the same thing as y.

m is the slope of the function

b is the y-intercept.

We can rearrange the above equation, \(y=10000+350x\) into that form. Just swap the terms on the right side of the equation

\(y=350x+10000\)

In the above equation, we have defined all the terms; the slope, m, is 350, and the y-intercept is 10000. Therefore, this is a linear function.

Well, I would have supplied the link to a graph, but Cphill beat me to it already...

Jun 27, 2017
edited by TheXSquaredFactor  Jun 27, 2017

#1
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Definitely, linear....here's the graph :

https://www.desmos.com/calculator/g6zznwsare   Jun 27, 2017
#2
+1

This is a linear function.

A linear function is a type of function where its resulting graph is a straight line. Linear functions have a standard form.

\(f(x)=mx+b\)

f(x) is the same thing as y.

m is the slope of the function

b is the y-intercept.

We can rearrange the above equation, \(y=10000+350x\) into that form. Just swap the terms on the right side of the equation

\(y=350x+10000\)

In the above equation, we have defined all the terms; the slope, m, is 350, and the y-intercept is 10000. Therefore, this is a linear function.

Well, I would have supplied the link to a graph, but Cphill beat me to it already...

TheXSquaredFactor Jun 27, 2017
edited by TheXSquaredFactor  Jun 27, 2017
#3
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That's OK, X2......your explanation was better than mine....   Jun 27, 2017