Question

chris buys cheese from the local farmer’s market. the graph below shows the cheese cost (in cents) versus its weight (in ounces). use the graph to answer the questions. (a) how much does the cost of the cheese increase for each ounce chris buys? cents (b) what is the slope of the line?

Explanation:

Step1: Analyze the graph for part (a)

The graph is a line passing through the origin \((0,0)\) and let's assume a point like when weight \(x = 6\) ounces, cost \(y = 72\) cents (from the grid, as the line seems to go through \((6,72)\)). To find cost per ounce, we use the formula \(\text{Cost per ounce}=\frac{\text{Total Cost}}{\text{Total Weight}}\). So for \(x = 6\), \(y = 72\), then \(\frac{72}{6}=12\) cents per ounce.

Step2: Calculate the slope for part (b)

The slope of a line is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using the origin \((0,0)\) and \((6,72)\), \(m=\frac{72 - 0}{6 - 0}=\frac{72}{6}=12\).

Answer:

(a) 12 cents per ounce
(b) 12