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Mathematics 8 Online
OpenStudy (anonymous):

The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, being sold by the company:

OpenStudy (anonymous):

OpenStudy (anonymous):

Part B: If at one time the profit of the company was at least $60, what domain could possibly produce this profit? (2 points) Part C: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)

OpenStudy (anonymous):

helllpppp!!!!!!!!!!!!!!

OpenStudy (anonymous):

@iGreen. @ZnappyDooZ @chosenmatt

OpenStudy (anonymous):

Look at 60 on the y-axis..see what 'x' is on the graph.

OpenStudy (anonymous):

0 and 6 ?

OpenStudy (anonymous):

@iGreen.

OpenStudy (anonymous):

No, you're looking at where the parabola crosses the x-axis.. We're looking at the y-axis..the one that goes up and down..locate 60 and go to the right..there will be two places and see what 'x' is for those.

OpenStudy (anonymous):

Did you find them yet?

OpenStudy (anonymous):

?????????????????

OpenStudy (anonymous):

@iGreen.

OpenStudy (anonymous):

When y is 60..x is both 1 and 5..I hope you can see that on the graph ._.

OpenStudy (anonymous):

ohhhhhhhhhhhh i see it! ok. then what?

OpenStudy (anonymous):

@iGreen.

OpenStudy (anonymous):

Now for Part C: We have to look at x = 3 and x = 5 and find the 'y' values..which is 120 and 60 (3, 120) (5, 60) Plug them into the slope formula: \(m = \dfrac{y_2-y_1}{x_2-x_1}\) \(m = \dfrac{60-120}{5-3}\) Simplify

OpenStudy (anonymous):

@domisreallytall You okay?

OpenStudy (anonymous):

sooo 60-120=-60

OpenStudy (anonymous):

and 5-3=2

OpenStudy (anonymous):

Yes, now divide -60 / 2

OpenStudy (anonymous):

-60/2=-30

OpenStudy (anonymous):

Yes, so the average rate of change from x = 3 to x = 5 is -30. And it represents the average change between the price of pens when they're $3 and when they're $5.

OpenStudy (anonymous):

I believe that's it! :)

OpenStudy (anonymous):

THANK YOU! <3

OpenStudy (anonymous):

No problem.

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