Question

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.

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 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.

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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.

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

ok i was just following the examples they give

Answer 15

I can rearrange yours to do the same thing:

p2 - p1 = m(h2-h1)
p2 = m(h2-h1) + p1

Answer 16

where h2 and p2 would be your variables

Answer 17

and h1 and p1 would be a known point

Answer 18

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

Answer 19

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

Answer 20

how do I simplify that equation?

Answer 21

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

Answer 22

ok so I am substituting 18 for h

Answer 23

I got 132

Answer 24

ok so

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

Answer 25

I see I forgot to do the () first

Answer 26

ok. Did you get 98?

Answer 27

yes I did

Answer 28

That looks like an easier formula to use

Answer 29

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

Answer 30

20 ft

Answer 31

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

Answer 32

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

Answer 33

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

Answer 34

334/3

Answer 35

it said the 132 was wrong

Answer 36

132 was wrong. Remember we said the answer was 98. 132 was the answer you got when you didn't do the () first

Answer 37

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

Answer 38

ok forgot to write that down. i will try again

Answer 39

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

Answer 40

Haha. No I was pretty sure that 98 was right

Answer 41

but it says to round it to the nearest whole nmuber

Answer 42

ok then the answer would be 111

Answer 43

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

Answer 44

yep right i just though about that too.

Answer 45

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?

Answer 46

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

Answer 47

so plug in 88 and tell me what you get

Answer 48

I got h=16.5

Answer 49

ya that is what I got

Answer 50

ok

Answer 51

rounded to the nearest whole number is 17

Answer 52

it is telling me to round to the nearest tenth

Answer 53

then the answer is 16.5

Answer 54

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

Answer 55

ok good. Glad I could help

Answer 56

take care