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Mathematics 18 Online
OpenStudy (anonymous):

Help? I'll tell you what I have so far I just need the problem checked

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: At one time the profit of the company was at least $220, 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 = 4, and what does this rate represent? (3 points) Part A: The x-intercepts represent the solutions to the equation and the maximum value represents the most profit the company can make. For the increasing interval, you have less than or equal to 2 and for the decreasing intervals are greater than or equal to 2. This shows that as the price of notebooks being sold to the company increases, the overall profit increases for when they cost $2 or less and when the notebooks sold to the company cost more than $2, their profit decreases.

OpenStudy (anonymous):

For part B I have The domain for a profit of $220 is about 1 is greater than or equal to x is less than or equal to 3. This is because, looking at the graph, anything from those x-values corresponds to at least a y-value of 220.

OpenStudy (anonymous):

Here's the graph

OpenStudy (anonymous):

@mathmath333

OpenStudy (anonymous):

@Here_to_Help15

OpenStudy (anonymous):

@DarkBlueChocobo

OpenStudy (anonymous):

@Mahmood786123

OpenStudy (anonymous):

@HELPMEPLZ!!

OpenStudy (mahmood786123):

hello

OpenStudy (mahmood786123):

I dont know I will ask some people to help you

OpenStudy (anonymous):

Thank you

OpenStudy (mahmood786123):

@amistre64 @Preetha @Sworewolf please come help this person

OpenStudy (amistre64):

The x-intercepts represent the solutions to the equation this is not complete, what do the 'solutions of the equation' represent at these points?

OpenStudy (anonymous):

I'm not sure, but I think the highest and lowest cost that the company is paying for notebooks?

OpenStudy (amistre64):

i dont know what the graph is plotting, since its not labeled. if the max value of whatever it is we are measuring, is at x=2, then the value is 0 at the points that the graph hits the x axis.

OpenStudy (amistre64):

they do not represent solutions to the equation, the represent a real life situation ...

OpenStudy (anonymous):

Oh, here The graph below shows a company's profit f(x), in dollars, depending on the price of notebooks x, in dollars, being sold by the company. I missed that part when typing the question

OpenStudy (amistre64):

:) so when the price is set at 0 or 4, we are just breaking even, we make no profit, and no loss. seems fair?

OpenStudy (anonymous):

Wait, which part?

OpenStudy (anonymous):

Oh! Part 1

OpenStudy (anonymous):

Okay, yeah makes sense

OpenStudy (amistre64):

What is an approximate average rate of change of the graph from x = 2 to x = 4, and what does this rate represent? what is the slope of the line between the points?

OpenStudy (amistre64):

|dw:1431125185629:dw|

OpenStudy (anonymous):

Part C: Well at x=2, y=300 and at x=4, y= 0 so 300- 0 300 -------- = -------- = -150 2-4 -2 That's what Ihave so far but idk if it's right

OpenStudy (amistre64):

its right, what does the slope between then tell us?

OpenStudy (anonymous):

I'm not sure

OpenStudy (amistre64):

the loss in profit we would expect to make per notebook for a $2 increase in price from $2 to $4

OpenStudy (anonymous):

That makes sense

OpenStudy (amistre64):

spose we changed the price from 2 to 4, we would expect to lose 150 dollars in profit per notebook sold. or something to that effect

OpenStudy (amistre64):

if we change the price from 1 to 3 ... we would expect no change in profit, a slope of 0. why? becuase at 1 and 3 we have the same amount of profit.

OpenStudy (anonymous):

So the final answer for all three parts would be Part A: The x-intercepts represent the company "breaking even" and not earning any profit and the maximum value represents the most profit the company can make. For the increasing interval, you have less than or equal to 2 and for the decreasing intervals are greater than or equal to 2. This shows that as the price of notebooks being sold to the company increases, the overall profit increases for when they cost $2 or less and when the notebooks sold by the company cost more than $2, their profit decreases. Part B: The domain for a profit of $220 is about 1 is greater than or equal to x is less than or equal to 3. This is because, looking at the graph, anything from those x-values corresponds to at least a y-value of 220. Part C: Well at x=2, y=300 and at x=4, y= 0 so 300- 0 300 -------- = -------- = -150 2-4 -2 The rate of change between them represents the loss in profit we would expect per notebook for a $2 increase in price from $2 to $4. Right?

OpenStudy (amistre64):

that seems good to me, but im not grading it :)

OpenStudy (anonymous):

Thank you so, so much!

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