Question

carlos 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 carlos buys? cents (b) what is the slope of the line?

Explanation:

Step1: Analyze the graph for cost increase

To find the cost increase per ounce, we can look at the slope of the line. The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points on the line, say (0, 0) and (3, 54) (from the graph, when weight is 3 ounces, cost is 54 cents).

Step2: Calculate the slope (cost per ounce)

Using the slope formula: $m=\frac{54 - 0}{3 - 0}=\frac{54}{3} = 18$. So the cost increases by 18 cents per ounce, and the slope of the line is also 18 (since slope represents the rate of change, which is the cost per ounce here).

Answer:

(a) 18 cents
(b) 18