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Mathematics 19 Online
OpenStudy (anonymous):

Medal and fan and testimony. Please help! The graph below shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, being sold by the company:

OpenStudy (anonymous):

OpenStudy (anonymous):

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (5 points) Part B: If at one time the profit of the company was at least $100, what domain could possibly produce this profit? (2 points) Part C: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (3 points)

OpenStudy (anonymous):

@IMStuck @lacrosseplayer22 @KatKatJV @ChihuahuaAdorer please helpppp

OpenStudy (anonymous):

I just need part c.

OpenStudy (anonymous):

@ganeshie8 could you help please?

ganeshie8 (ganeshie8):

average rate of change of the graph from x = 2 to x = 5 is : \[\large \dfrac{f(5) - f(2)}{5-2}\]

ganeshie8 (ganeshie8):

look at the graph, whats the value of f(5) ? whats the value of f(2) ?

OpenStudy (anonymous):

Im so confused.

OpenStudy (anonymous):

@ganeshie8 is f(5) 160?

ganeshie8 (ganeshie8):

Correct ! what about f(2) ?

OpenStudy (anonymous):

:D i was not expecting that to be right.

OpenStudy (anonymous):

f(2) is 100 @ganeshie8

ganeshie8 (ganeshie8):

Excellent ! plug them in the average rate formula and simplify

ganeshie8 (ganeshie8):

\[\large \dfrac{f(5) - f(2)}{5-2}\] \[\large \dfrac{160-100}{5-2}\] simplify

OpenStudy (anonymous):

omg thank you so much.

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

yw :) btw average rate of change represents how profit changes with increase in price of pencil

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