How do I graph a cost function like #C(x) = 3x + 20,000#?

1 Answer
Jun 21, 2015

Answer:

I think that your function can be used to model a service (say a health insurance) where you pay a fixed value (20,000) to join the program and 3 for each medical visit.

Explanation:

Your function is a linear function and is represented, graphically, by a straight line.

Considering an example you can immagine that it represents a medical insurance.

You pay #$20,000# to join in and then you pay #$3# for each visit: you can plot your function by using some values of #x# and calculating the corresponding #C#:

For example:
#x=0, C(0)=0+20,000=20,000#
#x=1, C(1)=3+20,000=20,003#
#x=2, C(2)=6+20,000=20,006#
...etc.

You can now plot these points on your graph.
So, graphically you have:
enter image source here