The Sugar Sweet Company needs to transport sugar to market. The graph below shows the transporting cost (in dollars) versus the weight of the sugar being transported (in tons).
Use the graph to answer the questions.
Cost ()
y40080012001600200024002800320036004000x1234567890
Weight (tons)
(a) What is the cost of transporting 0 tons?
(b) What is the cost of transporting 1 ton?
(c) How much does the cost increase for each ton of sugar being transported?
(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 transporting 0 tons is $0.
(b) The cost of transporting 1 ton is $800.
(c) The cost increases by $400 for each ton of sugar being transported.
(d) No, the amounts given in parts (b) and (c) are not equal. The line does not pass through 0,0.
(a) The cost of transporting 0 tons is $0.
(b) By reading the graph, the cost of transporting 1 ton is $800.
(c) To determine the cost increase for each ton of sugar being transported, we can calculate the change in cost divided by the change in weight. From the graph, we can see that the change in cost for 1 ton increase is $400. Therefore, the cost increases by $400 for each ton of sugar being transported.
(d) The best answer is "No, because the line does not pass through 0,0." The line on the graph does not pass through the point (0,0).
To answer these questions, we need to analyze the graph provided.
(a) To find the cost of transporting 0 tons, we locate the point on the graph corresponding to a weight of 0 tons. We can see that at 0 tons, the cost is $0. Therefore, the cost of transporting 0 tons is $0.
(b) To find the cost of transporting 1 ton, we locate the point on the graph corresponding to a weight of 1 ton. We can see that at 1 ton, the cost is $800. Therefore, the cost of transporting 1 ton is $800.
(c) To determine how much the cost increases for each ton of sugar being transported, we need to calculate the difference in cost for every 1-ton increase in weight. We can observe that for each additional ton of sugar being transported, the cost increases by $400. Therefore, the cost increases by $400 per ton.
(d) Are the amounts given in parts (b) and (c) equal?
No, the amounts given in parts (b) and (c) are not equal. The cost in part (b) represents the specific cost of transporting 1 ton of sugar, which is $800. On the other hand, part (c) represents the general increase in cost for each ton of sugar being transported, which is $400. These two amounts are different and should not be confused with each other.
To summarize:
(a) The cost of transporting 0 tons is $0.
(b) The cost of transporting 1 ton is $800.
(c) The cost increases by $400 for each additional ton of sugar being transported.
(d) No, the amounts given in parts (b) and (c) are not equal.