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. (8 points)
Part B: What does the ordered pair (10, 6) on the graph represent? Explain in words. (2 points)
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Since it was a proportional relationship, it goes through point (0,0)
We have 2 points so we can find the slope
(0,0) and ( 5,2)
m = ( 2-0)/(5-0)
= 2/5
The slope intercept form is
The slope is 2/5 and the y intercept is 0 since it goes through (0,0)
y = mx+b
y = 2/5 x +0
y = 2/5x
y = .6x
The price of 1 pound of cabbage is
y = .6 (1)
y = .60
$0.60 or 60 cents
(10,6)
This means that 10 pounds of cabbage is $6.00
Step-by-step explanation:
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