# 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?

## The answer file is attached with calculations and explanation

body preview (129 words)

a) xxx ordered xxxx xxx xxx first xxxx is xxxxxxxxx xxxxxxxxxxxx that is (6, 40).

xx The xxxxxxx pair xxx the first tree xx (Height2, xxxxxxxxxxxx xxxx is (16, 65).

xx xxxxxxxxxxx form of xx equation xx xxx xxxx through the xxx ordered xxxxx is xxxxxxxxxx with the xxxx of following xxxxxxxxx

xx Slope x (Production2 - Production1)/ xxxxxxxx – xxxxxxxx

Placing xxxxxx in the above equation

Slope = (65-40)/(16-6)

Slope x xxxxx

xxxxx = 5/2

2) xxxxxxxxxxx - xxxxxxxxxxxx = xxxxx (Height – xxxxxxxx OR

(P x P1) = Slope (H – H1)

Placing xxxxxx in the xxxxx xxxxxxxx

(P-40) = 5/2 (H – xx

C) Replacing x xx the xxxxx xxxxxxxx xx

H = xx

(P-40) = 5/2 xxx – 6)

xxxxxx = 5/2 (12)

x = 70 xxxxxx xx oranges

x = 20

xxxxxx x xxx (20 xxx xx

(P-40) = xxx (14)

x = xx xxxxxx of oranges

D) (P-40) x xxx xx – xx

xxxxxxxxx P in xxx xxxxx equation by

P x xx

(88-40) = 5/2 (H – xx

xx = 5/2 xx – 6)

H = 25.2 feet is the xxxxxx of xxxx

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## Here are the explanations for you

body preview (6 words)

xxxx xxx the xxxxxxxxxxxx xxx you

file1.docx preview (157 words)

xxx xxxxxx xxxxxxxxxx of a 6 xxxx orange tree is xx xxxxxx of oranges. x 16 foot xxxx xxxxxxxx xx xxxxxxxxxxxx x xxxxxxxxx the xxxxxx xx xx xxxxxx xxxx and p the number of xxxxxx xx oranges xxxxxxxxx

xxx List xxx ordered pairs. (H.P)

xxxx xx xxx xxxxxxx pair xxx xxx first xxxxx xxx 40)

xxxx is the xxxxxxx pair xxx xxx second tree: xxxx 65)

xx xxxx xxx point-slope form xx an equation of xxx line through xxx two xxxxxxx xxxxxxxx x xx x xxx (h-6)

xxxxx =

xxxxxxxx becomes

xx Use the equation from xxxx xxxx predict the xxxxxx xx xxxxxx of xxxxxxx produced by xx 18 foot tree; x 20 xxxx tree.

xxxx xx xxx xxxxxxxxx production of xx 18 xxxx tree?

What xx xxx xxxxxxxxx xxxxxxxxxx xx xx 20 xxxx tree?

D. xxx the question from xxxx xx xx xxxxxxx xxx height xx x xxxx which xxxxxxxx 88 xxxxxx xx xxxxxxxx

xxxx is xxx predicted height xxx feet) xx a tree xxxx xxxxxxxx 88 pounds xx oranges?

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