Question: The graph shows the cost of apples at a local market. Use the graph to answer the problems. Cost ($) Number of Apples 1. Identify a point on this graph. Write a "per" statement. (y-axis/x-axis) “There are _____ per _____” The graph is a scatter plot in the top-left area with x-axis labeled “Number of Apples” and y-axis labeled “Cost ($)”. The plotted points appear to be (0,0), (1,0.75), (2,1.5), (3,2.25), (4,3), (5,3.75), and (6,4.5), showing a linear increase. Find the constant of proportionality. K=

1. **State the problem:** We are given a graph showing the cost of apples versus the number of apples bought. We need to identify a point on the graph, write a "per" statement, and find the constant of proportionality $K$. 2. **Identify a point:** From the graph, one clear point is $(1, 0.75)$, meaning 1 apple costs 0.75. 3. **Write the "per" statement:** Since the y-axis is cost and the x-axis is number of apples, the statement is: "There are $0.75$ dollars per $1$ apple." 4. **Find the constant of proportionality $K$:** The constant of proportionality in a linear relationship $y = Kx$ is the ratio of cost to number of apples. Using the point $(1, 0.75)$: $$K = \frac{\text{cost}}{\text{number of apples}} = \frac{0.75}{1} = 0.75$$ 5. **Verify with another point:** For example, $(4, 3)$: $$K = \frac{3}{4} = 0.75$$ This confirms the constant $K = 0.75$. **Final answer:** $$K = 0.75$$