Question

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5,2) is on the graphed
line
Part A: What is the price of 1 pound of cabbage? Show your work.
Part B: What does the ordered pair (10,4) on the graph represent? Explain in words.

Answer 1

Answer: A. 1 pound of cabbage will cost 40 cents.  B. (10,4) means that 10 pounds of cabbage will cost 4 dollars.

Step-by-step explanation:

If it is proportional that means the y value divided by the x value will give you a constant slope.

So using that use the coordinates (5,2)  to find the cost of 1 pound of cabbage.

2/5 = 0.4

so you could write the equation y= 0.4x  where x is the number of pound.

Part A:     y= 0.4(1)    

                y= $0.40  which means one pound of cabbage will cost 40 cents.

Part B.    (10,4) in this case it will means that for 10 pounds of cabbage it will cost $4.

   Plot it into the equation and find out

 in the coordinates (10,4) 4 is the y and 10 is the x

   4= 0.4(10)

  4= 4  

Which means it true that 10 pounds of cabbage will cost 4 dollars.