A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line. Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price. (8 points) Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words. (2 points)
A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line. Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price. (8 points) Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words. (2 points)
The point (4,3) means that 4 lbs. of potatoes = $3. Therefore, we have:
4 lbs / $3 = 1lb / x cross-multiply
4x = 3 divide by 4
x = 3/4 dollars = $.75 per pound
The point (8,6) means that 8 lbs. of potatoes = $6.
A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordered pair (4, 3) is on the graphed line. Part A: What is the price of 1 pound of potatoes? Show your work, including the proportion you used to determine the price. (8 points) Part B: What does the ordered pair (8, 6) on the graph represent? Explain in words. (2 points)
The point (4,3) means that 4 lbs. of potatoes = $3. Therefore, we have:
4 lbs / $3 = 1lb / x cross-multiply
4x = 3 divide by 4
x = 3/4 dollars = $.75 per pound
The point (8,6) means that 8 lbs. of potatoes = $6.