To answer the questions regarding the cost of cheese based on the provided graph, we'll analyze each question step by step.
(a) What is the cost of buying no cheese?
From the graph, when weight \( x = 0 \) ounces, the cost \( y = 0 \) cents.
Answer: 0 cents
(b) What is the cost of buying 1 ounce of cheese?
From the graph, when weight \( x = 1 \) ounce, the cost \( y = 12 \) cents.
Answer: 12 cents
(c) How much does the cost of the cheese increase for each ounce Juan buys?
From the graph, we can see that the cost increases by 12 cents for each additional ounce.
Answer: 12 cents
(d) Are the amounts given in parts (b) and (c) equal? Why or why not?
- The answer from (b) (cost of 1 ounce) is 12 cents.
- The answer from (c) (increase in cost per ounce) is also 12 cents.
Therefore, these amounts are equal.
The best answer is:
Yes, because the line passes through \( 0, 0 \).
This indicates that the relationship between weight and cost is linear and starts at the origin, meaning the cost per ounce is the same as the cost for 1 ounce.