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.

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.

43

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."