Written Response Math...need help!

Question

31356 · Answer

Wow, that's a lot!
Good luck! :D

anonymous · Answer

Thanks!

anonymous · Answer

Btw by the way for the lookers and anyone willing to help would be nice..I'm not asking for anyone to do the whole assignment, I just need an idea of how to get it started and how to graph vertical asymptotes.

anonymous · Answer

Will you post the equation?

anonymous · Answer

The last part of the prompt implies that there is element of the equation that won't make calculating cost as simple as multiplying 10 times what it costs to cover 10% of the population.  So, we need the equation to help you analyze this problem. :)  If you are using a Mac, you can press: command-shift-4 to turn your mouse pointer into screenshot cross hairs.  Just drag over the equation and save it to your desktop, then attach that picture to your message here.  If you are using Windows, use the screenshot tool in accessories.

anonymous · Answer

+1 if you're using a mac

anonymous · Answer

Yess. It is C(p)= (25,000 times p)/100-p  and it has $$0 \le p < 100$$

anonymous · Answer

C(p) is the cost in dollars, and p is the percentage of the population served

anonymous · Answer

FYI, to type equations on OpenStudy, do this:

C(p) = \frac{25000\times{p}}{100-p}, 0 \le p \lt 100

but put it between \ [     and        \]     with no space between the first \ and [

$$C(p) = \frac{25000\times{p}}{100-p}, 0 \le p \lt 100 $$

Anyway, the equation involves the percentage of the population.  If you calculate as Uyne did and plug in 10 for p, you get the same answer he (or she? sorry, I don't know Korean names very well) did, 2777.77.  Now, because the equation involves the use of p to determine total cost, it would be wrong to multiply that it cost at 10% by 10 to get 100%.  Instead, you would have to plug in 100 for p and solve the equation to find total cost.  So, it is unrealistic to ask for the $50,000 grant to pay for this, as plugging in 100 for p, the cost comes to 2.5 million.  

I know you were just looking for help, but I hope my explanation gives you the guidance you need to solve these types of problems in the future.  Best wishes. :)

anonymous · Answer

Thank you so much!! :)

anonymous · Answer

The math formatting on this site uses LaTeX commands, which is useful if you ever want to publish some math sheets or documentation, because word processors math symbols don't usually work very well, or, they are ugly.

anonymous · Answer

Lolx indeed, sorry about that. I'll definitely do that next time!! :)

anonymous · Answer

Thanks for showing effort!

anonymous · Answer

So what about this conjecture thing?? What would I put inside of here...it says to fill in the table

anonymous · Answer

attachment

anonymous · Answer

To fill in the table on your PDF you just need to calculate the total cost for each percentage of population served.  You did this already for 10% and 100%, so you can do the rest. :)

anonymous · Answer

I believe for the conjecture table, you need to consider the definition of mathematical conjecture (see my screenshot posted above).  What did Uyen believe would work?  That is what you need to put in that table.

Also, attached are graphs of your function so you can identify any asymptotes.

whpalmer4 · Answer

Have you filled out the table in part 4?  What were the values?

anonymous · Answer

Yes , the values were $2777 for 10 percent, $8333.33 for 25, $25000 for 50, $75000 for 75, $225000 for 90, and $2500000 for 100

whpalmer4 · Answer

Isn't he denominator of the fraction $100-p$?

anonymous · Answer

Yes

whpalmer4 · Answer

What does that equal when p =100?

anonymous · Answer

0 right...this whole equation they've given is wrong but they just want me to prove it...

whpalmer4 · Answer

What do you get when you divide by 0?

anonymous · Answer

You cant divide by zero right..???

whpalmer4 · Answer

That's correct. That's why I'm wondering about the last table value you gave me :-)

anonymous · Answer

Lol yeah!! I was confused on that one..thats why I just didnt divide it and just did the top part..but this whole equation set up is wrong its really weird

anonymous · Answer

because it was 25,000 times 100 over 100-100 so I was like what the...cause the cost cant be 0 either for 100 percent of the population

whpalmer4 · Answer

It is set up wrong?  How do you know that?

anonymous · Answer

Mathbrz up above!! lol. Because Uyens theory was that it would cost 10 times the amount of 10 percent which was 2777 which would be right and not exceed the proposal of 50000. But when you do the actual equation that they give its incorrect it ends up being 2500000