# The yearly production of a 6 foot orange tree is 40 pounds of oranges. A 16 foot tree produces 65...

The yearly production of a 6 foot orange tree is 40 pounds of oranges. A 16 foot tree produces 65 pounds.? Let H represent the height of an orange tree and p the number of pounds of oranges produced.

a). List the ordered pairs. (H.P) What is the ordered pair for the first tree? (6,40) What is the ordered pair for the second tree: (16,65)

B. Find the point-slope form of an equation of the line through the two ordered pairs. p - 40 = 5/2 (h-6)

C. Use the equation from part b)to predict the number of pounds of oranges produced by an 18 foot tree; a 20 foot tree.

What is the predicted production of an 18 foot tree?

What is the predicted production of an 20 foot tree?

D. Use the question from part b) to predict the height of a tree which produces 88 pounds of oranges. What is the predicted height (in feet) of a tree that produces 88 pounds of oranges?

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a) The ordered pair for the xxxxx xxxx xx (Height1, Production1) xxxx is xxx 40).

b) The ordered xxxx for the xxxxx tree is (Height2, xxxxxxxxxxxx that is xxxx 65).

B) xxxxxxxxxxx form xx xx equation of the line through xxx xxx xxxxxxx xxxxx is xxxxxxxxxx with xxx xxxx of following xxxxxxxxx

xx xxxxx = (Production2 - Production1)/ xxxxxxxx xxx xxxxxxxx

Placing values xx xxx above equation

Slope x xxxxxxxxxxxxxx

Slope = 25/10

xxxxx = xxx

xx (Production x xxxxxxxxxxxx = xxxxx xxxxxxx – xxxxxxxx xx

xx x P1) = Slope xx – H1)

xxxxxxx values in the above equation

xxxxxx = 5/2 (H – 6)

xx Replacing x in xxx xxxxx equation by

H x 18

xxxxxx x 5/2 (18 xxx 6)

(P-40) = xxx xxxx

P = 70 xxxxxx xx xxxxxxx

x x xx

(P-40) x xxx xxx – xx

xxxxxx x xxx xxxx

x = xx pounds of xxxxxxx

xx xxxxxx = xxx xx – 6)

xxxxxxxxx P xx the xxxxx xxxxxxxx by

P x 88

(88-40) x 5/2 (H xxx xx

48 x 5/2 (H – 6)

x = 25.2 feet xx the xxxxxx xx tree

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The xxxxxx xxxxxxxxxx xx a 6 foot orange tree xx xx xxxxxx of xxxxxxxx x xx foot xxxx produces 65 pounds.? Let x xxxxxxxxx the xxxxxx xx an xxxxxx xxxx and p the xxxxxx xx pounds of xxxxxxx produced.

xxx List the ordered xxxxxx (H.P)

What xx xxx ordered pair for xxx first xxxxx (6, xxxx

xxxx is xxx xxxxxxx xxxx xxx xxx second xxxxx xxxx 65)

xx xxxx xxx xxxxxxxxxxx xxxx xx xx equation xx xxx xxxx xxxxxxx the two ordered xxxxxxxx - 40 = xxx (h-6)

Slope x

xxxxxxxx becomes

C. xxx the equation from xxxx xxxx xxxxxxx the number of xxxxxx of xxxxxxx xxxxxxxx by xx xx xxxx xxxxx a xx foot tree.

xxxx is the xxxxxxxxx xxxxxxxxxx of xx 18 xxxx tree?

What is the predicted xxxxxxxxxx xx an 20 xxxx xxxxx

xx Use xxx xxxxxxxx from part b) to xxxxxxx xxx xxxxxx xx x tree which produces 88 pounds xx oranges.

xxxx xx the xxxxxxxxx xxxxxx (in xxxxx of x tree xxxx produces 88 xxxxxx of xxxxxxxx

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