Question

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 3) is on the graphed line.

Part A: What is the price of 1 pound of cabbage? Show your work, including the proportion you used to determine the price. (8 points)
Part B: What does the ordered pair (10, 6) on the graph represent? Explain in words.

Answer 1

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Answer 2

(5,3)...x = 5 and y = 3

proportions are nothing but equivalent fractions.

pounds of cabbage 5
---------------- = ----
cost of cabbage 3

A. 5/3 = 1/x --- 5 lbs of cabbage to $3 = 1 lb of cabbage to $x
this is your proportion....now we cross multiply to solve for x.
(5)(x) = (3)(1)
5x = 3
x = 3/5
x = 0.6
so 1 lb of cabbage costs 0.60 cents

B. (10,6) --- this means 10 lbs of cabbage costs $6

Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 7

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Answer 8

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