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) 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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