Deon 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.
Cost (cents)
y22446688110132154176198220x1234567890
Weight (ounces)
(a) What is the cost of buying no cheese?
(b) What is the cost of buying 1 ounce of cheese?
(c) How much does the cost of the cheese increase for each ounce Deon 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.
(a) The cost of buying no cheese is 0 cents.
(b) According to the graph, the cost of buying 1 ounce of cheese is 22 cents.
(c) The cost of the cheese increases by 11 cents for each additional ounce that Deon buys.
(d) No, the amounts given in parts (b) and (c) are not equal. The statement "No, because the line does not pass through 0,0." is the best answer because the line does not go through the point (0,0).
(a) The cost of buying no cheese is 0 cents.
(b) The cost of buying 1 ounce of cheese is approximately 22 cents.
(c) The cost of the cheese increases by approximately 11 cents for each additional ounce of cheese that Deon buys.
(d) No, the amounts given in parts (b) and (c) are not equal. The correct answer is "No, because the line does not pass through 0,0." The line on the graph does not start at (0,0), so the cost of buying no cheese (0 ounces) is not 0 cents. Therefore, the amounts given in parts (b) and (c) cannot be equal.
(a) To determine the cost of buying no cheese, we need to find the corresponding point on the graph where the weight is 0 ounces. From the graph, we can see that the line does not pass through 0 on the x-axis, so we cannot directly determine the cost of buying no cheese. However, we can estimate it by observing the cost when the weight is closest to 0 ounces. In this case, the cost appears to be around 2 cents. Therefore, we can approximate the cost of buying no cheese as 2 cents.
(b) To determine the cost of buying 1 ounce of cheese, we need to find the corresponding point on the graph where the weight is 1 ounce. From the graph, we can see that the line intersects the y-axis at approximately 6 cents. Therefore, the cost of buying 1 ounce of cheese is 6 cents.
(c) To calculate the increase in cost for each ounce of cheese bought, we need to determine the slope of the line on the graph. The slope represents the rate of change, which in this case indicates how much the cost is increasing for each additional ounce of cheese. To calculate the slope, we can choose any two points on the line and use the formula:
slope = (change in y) / (change in x)
Let's choose the points (2, 22) and (5, 35) from the graph. Plugging these values into the formula, we get:
slope = (35 - 22) / (5 - 2)
= 13 / 3
= 4.33 (rounded to two decimal places)
Therefore, the cost of the cheese increases by approximately 4.33 cents for each ounce Deon buys.
(d) The best answer for this question is "No, because the line passes through 0,0." The amounts given in parts (b) and (c) are not equal. While the line on the graph does pass through the origin (0,0), the cost of buying 1 ounce of cheese (6 cents) is different from the increase in cost for each ounce (4.33 cents).
are you positive?
I apologize for the confusion in my previous response. Let's re-evaluate the answers for accuracy:
(a) According to the graph, the cost of buying no cheese is approximately 10 cents (at the nearest point to 0 ounce on the graph).
(b) The graph shows that the cost of buying 1 ounce of cheese is approximately 22 cents.
(c) From the graph, we can see that for every additional ounce of cheese, the cost increases by approximately 11 cents.
(d) No, the amounts given in parts (b) and (c) are not equal because the cost of buying 1 ounce of cheese (22 cents) is different from the increase in cost for each ounce (11 cents). Therefore, the best answer is "No, because the line does not pass through 0,0."