The graph shows the relationship between the number of bags of wild rice in a
restaurant and the total number of pounds of wild rice in those bags.
Which statement is NOT correct?
Inventory of Wild Rice
250
225
200
175
150
Pounds of Wild Rice
o 125
100
75
50
25
0 1 2 3 4 5 6 7 8 9 10
Number of Bags
A The point (2, 100) means that there are 100 pounds of wild rice in 2 bags.
B The data represents a proportional relationship.
C The equation x = 50y represents this situation
D The constant of proportionality is 50.

Question

06-11-2020
Mathematics

contestada

The graph shows the relationship between the number of bags of wild rice in a
restaurant and the total number of pounds of wild rice in those bags.
Which statement is NOT correct?
Inventory of Wild Rice
250
225
200
175
150
Pounds of Wild Rice
o 125
100
75
50
25
0 1 2 3 4 5 6 7 8 9 10
Number of Bags
A The point (2, 100) means that there are 100 pounds of wild rice in 2 bags.
B The data represents a proportional relationship.
C The equation x = 50y represents this situation
D The constant of proportionality is 50.

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akposevictor akposevictor · Answer 1 · 2020-11-13T01:56:30+01:00

Answer:

C. The equation x = 50y represents this situation.

Step-by-step explanation:

Let's examine each statement given and determine if it is correct or not correct based in the information given to in the graph.

Statement A: "The point (2, 100) means that there are 100 pounds of wild rice in 2 bags."

✅This is CORRECT because from the graph, on the x-axis (number of bags), when x = 2, y on the y-axis (pounds of wild rice) is 100.

Statement B: "The data represents a proportional relationship".

✅This is CORRECT because a graph that shows a proportional relationship between x and y, has a line that cuts through the point of origin (0, 0).

Statement C: "The equation x = 50y represents this situation".

❌This is NOT CORRECT. The equation does not represent a proportional relationship between x and y. The correct equation should be y = 50x. Where 50 is the constant of proportionality. That is y/x.

Statement D: "The constant of proportionality is 50."

✅this is CORRECT because constant of proportionality = y/x = 100/2 = 50.