Frank 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)
y163248648096112128x12345670
Weight (ounces)
(a) What is the cost of buying 1 no cheese?

(b) What is the cost of buying ounce of cheese?
(c) How much does the cost of the cheese increase for each ounce Frank buys?
(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 your questions, let's analyze the information based on the graph description provided:

(a) The cost of buying 1 ounce of cheese: This value can be read directly from the graph. Since 1 ounce corresponds to a specific point on the graph, you can find the y-coordinate for that point to determine the cost in cents.

(b) The cost of buying 1 ounce of cheese: Similar to part (a), this requires locating the point on the graph for 1 ounce and finding the corresponding y-coordinate.

(c) The increase in cost for each additional ounce of cheese: This is typically represented by the slope of the line on the graph. The slope indicates how much the cost increases per ounce of cheese. You can derive the slope by finding the change in cost divided by the change in weight (cost difference per ounce).

(d) To determine whether the amounts given in parts (b) and (c) are equal, consider the relationship between the cost per ounce (part b) and the slope of the line (part c). If the total cost function is linear starting from the origin (0,0), then the cost per ounce (b) will equal the increase in cost per ounce (c).

Now, let's review the answer choices based on this analysis:

• Yes, because the line passes through 0,0. (This would imply that the cost per ounce and the slope are equal under a linear relationship.)

• Yes, because the line does not pass through 0,0. (This is incorrect since it suggests a different reasoning.)

• No, because the line passes through 0,0. (This is incorrect; if the line passes through 0,0, the values could still be equal.)

• No, because the line does not pass through 0,0. (This could be correct only if the slope was consistent in direction but not equal values.)

In conclusion, without the exact graphical data, we cannot specify numerical answers, but I encourage you to find the specific points to fill in the blanks. However, the best answer for part (d) would likely be "Yes, because the line passes through 0,0." indicating a direct linear relationship, assuming the graph is linear.

Answer 2

what are the cents

Answer 3

To provide you with specific answers regarding the cost in cents for the cheese, I would need to have access to the actual graph or the data points mentioned in your prompt. However, since you have described a linear relationship between the cost (in cents) and the weight (in ounces), you can usually answer the questions based on the characteristics of that linear graph.

Here’s how you can determine the cost in cents for various weights:

1. Find the Cost of Buying 1 Ounce of Cheese (part (a):

   • Look at the point on the graph where the weight is 1 ounce. Read the cost (y-coordinate) at that point.

2. Cost of Buying 1 Ounce of Cheese (part (b):

   • It seems that part (a) and part (b) are asking the same thing (the cost for buying 1 ounce). The answer you get from the graph will be the same.

3. Increase in Cost Per Ounce (part (c):

   • If the graph is linear, you can determine the slope. Choose two points on the line (for example, (1 ounce, y1) and (2 ounces, y2)) and calculate the change in cost divided by the change in weight: \((y2 - y1)/(2 - 1)\).

4. Compare Values for part (d):

   • If the results from (b) and (c) are equal, it reflects that each additional ounce costs the same, affirming a consistent unit price.

If you have particular points or values to share from the graph, I would gladly help you calculate or interpret the costs directly!

Answer 4

js give the all 3 cents

Answer 5

I apologize for any confusion in my previous responses. Unfortunately, I do not have access to the visual graph you mentioned to draw specific values from it.

However, if you can provide specific points from the graph (for example, the cost in cents for weights like 1 ounce, 2 ounces, etc.), I can assist you in determining the answers to your questions clearly.

If you're asking for hypothetical values based on a typical linear relationship in such a scenario, I can also provide an example:

Assuming you are given a linear relationship like this:

• 1 ounce of cheese costs 160 cents.
• 2 ounces of cheese costs 320 cents.

Then:

(a) The cost for 1 ounce of cheese: 160 cents.
(b) The cost for buying 1 ounce of cheese: 160 cents.
(c) To find how much the cost increases for each ounce:

• From 1 ounce (160 cents) to 2 ounces (320 cents), the increase is:
  \( (320 - 160) \text{ cents} = 160 \text{ cents} \)
  Therefore, the cost increases by 160 cents for each ounce bought.

(d) In this case, the amounts in (b) and (c) would be equal, since the cost per ounce is the same as the cost increase per ounce.

Please provide specific values or confirm if you want me to work with these hypothetical values, and I'll be glad to help!

Answer 6

what is How much does the cost of the cheese increase for each ounce Frank buys?

Answer 7

To determine how much the cost of cheese increases for each ounce Frank buys, you typically look at the slope of the line if the relationship between weight (in ounces) and cost (in cents) is linear.

If you can provide specific points from the graph, I can help you calculate the increase accurately. However, if we assume a linear graph, here's how you can find the increase:

1. Choose two points from the graph: For example, let's say, according to the graph:

   • At 1 ounce, the cost is 160 cents.
   • At 2 ounces, the cost is 320 cents.

2. Calculate the increase in cost per ounce:

   • Find the difference in cost between these two points: \[ \text{Cost increase} = \text{Cost at 2 ounces} - \text{Cost at 1 ounce} \] Using our hypothetical values: \[ \text{Cost increase} = 320 \text{ cents} - 160 \text{ cents} = 160 \text{ cents} \]

3. Determine the increase in cost per ounce: Since this increase occurs over one ounce: \[ \text{Increase per ounce} = 160 \text{ cents} \]

Thus, if the above values are correct, the cost of cheese increases by 160 cents for each ounce.

Please check the graph for actual values if you're looking for specific figures, or let me know if you have specific points to analyze!

Answer 8

What is the cost of buying no cheese?

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

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

(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 .

Yes, because the line does not pass through .

No, because the line passes through .

No, because the line does not pass through .

Answer 9

To answer your questions accurately, let's assume the graph displays a linear relationship between the cost of cheese (in cents) and its weight (in ounces). That said, let’s consider the logical deductions typically derived from such a graph:

Answers:

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

• Answer: The cost of buying no cheese (when weight = 0 ounces) is typically 0 cents. This point would correspond to the y-intercept of the graph, which, in most linear relationships involving cost and weight, is at (0,0).

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

• Answer: You would need to look at the graph where the weight is 1 ounce and note the corresponding cost. For example, it could be something like 160 cents (but you would need the graph for the exact amount).

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

• Answer: This is the slope of the line on the graph, which represents the cost increase per ounce. You would take two points on the graph (for example, (1 ounce, cost1) and (2 ounces, cost2)) and calculate: \[ \text{Cost increase per ounce} = \frac{\text{cost2} - \text{cost1}}{\text{2 ounces} - \text{1 ounce}}. \]
• If the cost at 1 ounce is 160 cents and at 2 ounces is 320 cents, the cost increases by 160 cents per ounce.

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

• To determine if the answers to parts (b) and (c) are equal:

  • If part (b) (cost of 1 ounce) equals the amount calculated in part (c) (cost increase per ounce), then they are equal.
  • If they are not equal, then they reflect different concepts.

• Possible answers:

  • Yes, because the line passes through (0,0). (Typically correct if the line is linear and starts from the origin, indicating a constant rate.)
  • Yes, because the line does not pass through (0,0). (Incorrect if the graph is linear starting from the origin.)
  • No, because the line passes through (0,0). (Incorrect in this context; if both values are calculated correctly, they should be consistent.)
  • No, because the line does not pass through (0,0). (This could be true if the line represents a fixed cost that does not start from zero, but that would need clarification.)

Conclusion:

Assuming a linear relationship originating at (0,0), the best answer for (d) would be "Yes, because the line passes through (0,0)." This indicates the cost per ounce is representative of the increase in cost as well. Please adjust the reasoning based on the specific values from your graph for accuracy.