Question

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:

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? (6 points)

Part B: What is an approximate average rate of change of the graph from x = 2 to x = 5, and what does this rate represent? (4 points)

Answer 1

@Hero Please help meh e.e

Answer 2

@Dude

Answer 3

@Hero

Answer 4

@Ultrilliam Drama dropped

Answer 5

Might that catch his attention? e.e

Answer 6

that click bait though

Answer 7

Aye o;

Answer 8

BUT, I can't help on math, so uh... good luck?

Answer 9

Rip.

Answer 10

T~T

Answer 11

have you tried to google it

Answer 12

yes T~T

Answer 13

let me double check to see if there is any hope

Answer 14

https://questioncove.com/updates/56d8ea9ce4b07475bd9af366

i dont know if that will help but i found it so

Answer 15

i think i found something

Answer 16

x-intercepts is when the graph reaches the x-axis

Answer 17

Part A: The x intercepts Represents the price of pencils when the profit is zero.
The maximum value of this question tells us that intervals are decreasing because the graph lines go down ward instead of up ward.

Answer 18

Part A: In this particular case, the x-intercepts represent the price of pencils, \(x\), when the company's profit, \(f(x)\) is zero. The maximum value of the graph reflects the maximum profit the company can attain from selling the pencils at their current price.

Answer 19

Part B: in this question the average rate of change from x=2 to x=5 is 20. This tells us there is a $20 increase in profit when each dollar increases. The selling price Each pencil is between 2 and 5 dollars.y

Answer 20

Actually, I realize we should say what the current price is that gives the max profit.

Answer 21

Part A: In this particular case, the x-intercepts represent the price of pencils, x, when the company's profit, f(x) is zero. The maximum value of the graph reflects the maximum profit, $160, the company can attain if they sell the pencils for $5.

Answer 22

Part B: in this question the average rate of change from x=2 to x=5 is 20. This tells us there is a $20 increase in profit when each dollar increases. The selling price Each pencil is between 2 and 5 dollars

^^so is this what should put for part b or no

Answer 23

In part B, you should include your calculation steps for average rate of change as part of your explanation.

Answer 24

Part B: in this question the average rate of change from x=2 to x=5 is 20. This tells us there is a $20 increase in profit when each pencil gets sold. The selling price for Each pencil is5 dollars

Answer 25

Yes, I mean the full calculation. In other words, show how you got the 20.

Answer 26

the question doesnt ask for explanation it ask what it represents

Answer 27

but ok .......

Answer 28

What it represents is the 2nd part of the question.

Part B:
1. What is the approximate average rate of change of the graph from x = 2 to x = 5
2. What does approximate average rate of change represent?

Answer 29

i got no idea my friend gave it to me and said its the answer but wont tell me how to get it

Answer 30

she said find it yourself i gave u the answer just try to find how to get it and my mind is blank i got nothing

Answer 31

can you walk me through it so i can figure it out cause my mind is drawing a blank

Answer 32

@Vocaloid

Answer 33

any help would be appreciated

Answer 34

Do you know how to find the rate of change using two points?

Answer 35

i remeber some of it but not much we did this early in the module so i kinda forgot some

Answer 36

*remember

Answer 37

There is an equation you're supposed to use:
(Using any two points)
\(\large \frac{y_2-y_1}{x_2-x_1}\)

The numbers under it represent which dot coordinate you are using i.e First point would be written as \((x_1,y_1)\)
Second point would be written as \((x_2,y_2)\)

Answer 38

so \[\left( \frac{ 2,5 }{ 5,2 }\right)\]

Answer 39

kinda ish

Answer 40

Sort of?
So whats is y in the equation when x is 2? (Look at the graph)

Answer 41

100

Answer 42

Right and what is the y value when x is 5?

Answer 43

\[\left(\begin{matrix}100,2 \\160, 5\end{matrix}\right)\]

Answer 44

so it looks like this

Answer 45

Points are written as (x,y)

So point 1 would be \((x_1,y_1)\rightarrow(2,100)\)
Point 2 would be \((x_2,y_2)\rightarrow(5,160)\)

Answer 46

thats what it though then i second guessed it srry

Answer 47

so once we have that whats next

Answer 48

Substitute into the equation
We know that \((x_1,y_1)\rightarrow(2,100)\) and \((x_2,y_2)\rightarrow(5,160)\)
So....
\(\large \frac{y_2-y_1}{x_2-x_1}\rightarrow \large \frac{160-100}{5-2}\)

Does that make sense?

Answer 49

\[\frac{ 100 }{ 3 }\]

Answer 50

You subtracted the top incorrectly

Answer 51

your right its 60

Answer 52

\[\frac{ 60 }{ 3 }\]

Answer 53

I love you're grammar :)

Anyway yes its \(\large \frac{60}{3}\)
You can divide to simplify now :D

Answer 54

you get 20 OMG

Answer 55

Right that is you're slope!