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
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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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