- 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.

- katieb

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- anonymous

do you not just plug in 18 for the height and solve for p?

- anonymous

I did that ans when I submitted the answer it said it was wrong

- anonymous

That is why I am asking for help I am not sure why and what I need to do

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## More answers

- anonymous

is the formula p-24 = 31/(11(h-5))

- 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

no Here is the ordered pair (5,24) & (16,55) then I did 55-24/16-5 = 31/11

- anonymous

the equation came to p-24=31/11(h-5)

- anonymous

I am suppose to take that equation and predict the # of lbs of fruit a 18 & a 20 ft tree will produce

- 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

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

you line equation was incorrect. Use point-slope form.
\[y = m(x -x _{1})+ y_{1}\]

- anonymous

that is not the formula they are using. They are using m= p2-p1/h2-h1=

- anonymous

yeah that is the slope equation. Mine is the slope equation too...just rearranged.

- anonymous

ok i was just following the examples they give

- anonymous

I can rearrange yours to do the same thing:
p2 - p1 = m(h2-h1)
p2 = m(h2-h1) + p1

- anonymous

where h2 and p2 would be your variables

- anonymous

and h1 and p1 would be a known point

- anonymous

ok the new formula, since I had to change problems, is p-18=20/3(h-6)

- anonymous

p1 & p2 = 18 & 58 and h1 & h2 = 6 & 12 respectively

- anonymous

how do I simplify that equation?

- anonymous

p = (20/3)*(h-6)+18

- anonymous

ok so I am substituting 18 for h

- anonymous

I got 132

- anonymous

ok so
p = (20/3)*(18-6) + 18
p = (20/3)*12 + 18 = 98

- anonymous

I see I forgot to do the () first

- anonymous

ok. Did you get 98?

- anonymous

yes I did

- anonymous

That looks like an easier formula to use

- anonymous

Ok so that is the first answer. What is the other height value?

- anonymous

20 ft

- anonymous

Yeah it is the same as the one they are giving you. It is just rearranged algebraically.

- anonymous

Thank you. To mee it looks easier to use as long as I remember to do the ( ) first.

- anonymous

ok so use the same formula. Tell me what you get.

- anonymous

334/3

- anonymous

it said the 132 was wrong

- 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

334/3 is the right answer for the height of 20

- anonymous

ok forgot to write that down. i will try again

- anonymous

ok 98 was right sorry did I get ur heart going?

- anonymous

Haha. No I was pretty sure that 98 was right

- anonymous

but it says to round it to the nearest whole nmuber

- anonymous

ok then the answer would be 111

- anonymous

334/3 = 111.33 which is approximated to 111 when rounding to the nearest whole number

- anonymous

yep right i just though about that too.

- 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

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

so plug in 88 and tell me what you get

- anonymous

I got h=16.5

- anonymous

ya that is what I got

- anonymous

ok

- anonymous

rounded to the nearest whole number is 17

- anonymous

it is telling me to round to the nearest tenth

- anonymous

then the answer is 16.5

- anonymous

right. THANK YOU very much. I got another one similiar which i will do and see how it turn out.

- anonymous

ok good. Glad I could help

- anonymous

take care

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