Use the image to answer the question.
A graph with x and y axes shows four curves labeled A, B, C, and D. Curve A has a step-like structure initiating at the origin, increasing steadily, tapering to a point, and again increasing. Curve B begins at the origin and is an increasing concave down curve. Curve C is a straight line with a unit slope. Curve D is a straight line that initiates at a point on the y-axis and then increases steadily.
Identify the proportional relationship from the graph.
(1 point)
Responses
Graph A
Graph A
Graph C
Graph C
Graph D
gragh b
The proportional relationship from the graph is Graph C, which is a straight line with a unit slope.
Based on the description provided, the proportional relationship from the graph is represented by Graph C. Graph C is a straight line with a unit slope, indicating a constant rate of change or a direct proportional relationship between the x and y values.
To identify the proportional relationship from the graph, we need to look for a straight line. In this case, Curve C is a straight line with a unit slope. Therefore, the proportional relationship from the graph is represented by Graph C.
Use the table to answer the question.
Time walking (minutes) 20 30 40 60 80
Calories burned 100 150 200 300 400
The table shows a relationship between the amount of time spent walking and the number of calories burned. Determine if the relationship is proportional.
(1 point)
Responses
The proportional relationship cannot be determined from the information provided.
The proportional relationship cannot be determined from the information provided.
The relationship is non-proportional; the graph would be an arc.
The relationship is non-proportional; the graph would be an arc.
The relationship is proportional.
The relationship is proportional.
The relationship is non-proportional; the graph does not pass through the origin.
To determine if the relationship is proportional, we need to check if the ratio of the number of calories burned to the time spent walking is constant throughout the table. Let's calculate the ratios for each entry:
For 20 minutes: 100 calories burned / 20 minutes = 5 calories per minute
For 30 minutes: 150 calories burned / 30 minutes = 5 calories per minute
For 40 minutes: 200 calories burned / 40 minutes = 5 calories per minute
For 60 minutes: 300 calories burned / 60 minutes = 5 calories per minute
For 80 minutes: 400 calories burned / 80 minutes = 5 calories per minute
Since the ratio is constant (5 calories per minute) throughout the table, we can conclude that the relationship is proportional. Therefore, the correct response is:
The relationship is proportional.
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