anonymous
  • anonymous
I have a problem where I need to figure out how many pounds of fruit an 18 ft & a 20 tree will bear. Here is the formula: p-24=31/11(h-5). For the life of me I am stuck and can't figure it out. Please help and show me.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
do you not just plug in 18 for the height and solve for p?
anonymous
  • anonymous
I did that ans when I submitted the answer it said it was wrong
anonymous
  • anonymous
That is why I am asking for help I am not sure why and what I need to do

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anonymous
  • anonymous
is the formula p-24 = 31/(11(h-5))
anonymous
  • anonymous
I used the formula I just put and got 24.94 pounds for the 18 ft tree and 24.56 pounds for the 20 ft tree.
anonymous
  • anonymous
no Here is the ordered pair (5,24) & (16,55) then I did 55-24/16-5 = 31/11
anonymous
  • anonymous
the equation came to p-24=31/11(h-5)
anonymous
  • anonymous
I am suppose to take that equation and predict the # of lbs of fruit a 18 & a 20 ft tree will produce
anonymous
  • anonymous
dang. I left the page and when I went back the problem was gone so now I will have to do a different one. Sorry I will have to post a different problem.
anonymous
  • anonymous
oh you are trying to find the equation of the line? y = mx +b m = (55-24)/(16-5) = 31/11 y = 31/11(x - 5) + 24 for x=18 y = (31/11)*3+24 = 32.45 for x = 20 y = (31/11)*5+24 = 38.09
anonymous
  • anonymous
you line equation was incorrect. Use point-slope form. \[y = m(x -x _{1})+ y_{1}\]
anonymous
  • anonymous
that is not the formula they are using. They are using m= p2-p1/h2-h1=
anonymous
  • anonymous
yeah that is the slope equation. Mine is the slope equation too...just rearranged.
anonymous
  • anonymous
ok i was just following the examples they give
anonymous
  • anonymous
I can rearrange yours to do the same thing: p2 - p1 = m(h2-h1) p2 = m(h2-h1) + p1
anonymous
  • anonymous
where h2 and p2 would be your variables
anonymous
  • anonymous
and h1 and p1 would be a known point
anonymous
  • anonymous
ok the new formula, since I had to change problems, is p-18=20/3(h-6)
anonymous
  • anonymous
p1 & p2 = 18 & 58 and h1 & h2 = 6 & 12 respectively
anonymous
  • anonymous
how do I simplify that equation?
anonymous
  • anonymous
p = (20/3)*(h-6)+18
anonymous
  • anonymous
ok so I am substituting 18 for h
anonymous
  • anonymous
I got 132
anonymous
  • anonymous
ok so p = (20/3)*(18-6) + 18 p = (20/3)*12 + 18 = 98
anonymous
  • anonymous
I see I forgot to do the () first
anonymous
  • anonymous
ok. Did you get 98?
anonymous
  • anonymous
yes I did
anonymous
  • anonymous
That looks like an easier formula to use
anonymous
  • anonymous
Ok so that is the first answer. What is the other height value?
anonymous
  • anonymous
20 ft
anonymous
  • anonymous
Yeah it is the same as the one they are giving you. It is just rearranged algebraically.
anonymous
  • anonymous
Thank you. To mee it looks easier to use as long as I remember to do the ( ) first.
anonymous
  • anonymous
ok so use the same formula. Tell me what you get.
anonymous
  • anonymous
334/3
anonymous
  • anonymous
it said the 132 was wrong
anonymous
  • anonymous
132 was wrong. Remember we said the answer was 98. 132 was the answer you got when you didn't do the () first
anonymous
  • anonymous
334/3 is the right answer for the height of 20
anonymous
  • anonymous
ok forgot to write that down. i will try again
anonymous
  • anonymous
ok 98 was right sorry did I get ur heart going?
anonymous
  • anonymous
Haha. No I was pretty sure that 98 was right
anonymous
  • anonymous
but it says to round it to the nearest whole nmuber
anonymous
  • anonymous
ok then the answer would be 111
anonymous
  • anonymous
334/3 = 111.33 which is approximated to 111 when rounding to the nearest whole number
anonymous
  • anonymous
yep right i just though about that too.
anonymous
  • anonymous
ok last thing. i need to predict the height of a tree that produces 88 lbs. can you tell me how to flip the formula around to solve for that?
anonymous
  • anonymous
so the formula we were using was: p = (20/3)*(h-6) + 18 subtract 18 from each side p-18 = (20/3)*(h-6) divide each side by (20/3) this is the same as multiplying by 3/20 (3/20)*(p-18) = h-6 now add 6 to each side our new equation is h = (3/20)*(p-18) + 6
anonymous
  • anonymous
so plug in 88 and tell me what you get
anonymous
  • anonymous
I got h=16.5
anonymous
  • anonymous
ya that is what I got
anonymous
  • anonymous
ok
anonymous
  • anonymous
rounded to the nearest whole number is 17
anonymous
  • anonymous
it is telling me to round to the nearest tenth
anonymous
  • anonymous
then the answer is 16.5
anonymous
  • anonymous
right. THANK YOU very much. I got another one similiar which i will do and see how it turn out.
anonymous
  • anonymous
ok good. Glad I could help
anonymous
  • anonymous
take care

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