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