Juan buys cheese from the local farmer's market. The graph below shows the cheese cost (in cents) versus its weight (in ounces).

Question

Use the graph to answer the questions.
Cost (cents)
y
12
24
36
48
60
72
84
96
x
1
2
3
4
5
6
7
0
0
0
Weight (ounces)
(a)What is the cost of buying no cheese?
cents
(b)What is the cost of buying
1
ounce of cheese?
cents
(c)How much does the cost of the cheese increase for each ounce Juan buys?
cents
(d)Are the amounts given in parts (b) and (c) equal?Why or why not? Choose the best answer.
Yes, because the line passes through
0, 0
.
Yes, because the line does not pass through
0, 0
.
No, because the line passes through
0, 0
.
No, because the line does not pass through
0, 0
.

Answer 1

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.

Answer 2

incorrect

Answer 3

I apologize for the oversight. Let’s reevaluate the questions based on the graph you described.

(a) What is the cost of buying no cheese?

Answer: The cost of buying no cheese (when weight is 0 ounces) is 0 cents.

(b) What is the cost of buying 1 ounce of cheese?

From your description, when you look at the graph where \( x = 1 \) ounce, the corresponding cost \( y \) appears to be 12 cents.

(c) How much does the cost of the cheese increase for each ounce Juan buys?

From your description, it appears that each additional ounce corresponds to an increase of 12 cents in cost. If the graph indicates that the cost at each ounce (1, 2, 3 etc.) increases by the same amount (as noted from points in the graph), then the cost increase per ounce is 12 cents.

(d) Are the amounts given in parts (b) and (c) equal? Why or why not?

Yes, because the amount from part (b) (12 cents for 1 ounce) is the same as the increase in cost per ounce in part (c) (12 cents).

The correct answer is: Yes, because the line passes through \( 0, 0 \).
This indicates the direct relationship between ounces and cost without any fixed costs at the beginning (no cheese).

If there's something specific in the graph or additional details you would like to clarify, please let me know!