Graphs of Proportional Relationships Quick Check

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Question
Use the image to answer the question.

A graph with x-axis and y-axis ranging from 0 to 8 in unit increments shows a line. The line passes through the following plotted points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 2 comma 3 right parenthesis; and left parenthesis 4 comma 6 right parenthesis.

Identify the constant of proportionality from the graph.

(1 point)
Responses

2
2

32
Start Fraction 3 over 2 End Fraction

12
Start Fraction 1 over 2 End Fraction

23
Start Fraction 2 over 3 End Fraction
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3 answers

The constant of proportionality can be found by finding the ratio of the y-values to the x-values.

From the graph, we can see that the ratio of the y-values to the x-values is always 3/2.

Therefore, the constant of proportionality from the graph is 3/2.
What is the average number of heartbeats per second?

(1 point)
Responses

112 beats per second
1 Start Fraction 1 over 2 End Fraction beats per second

23 beat per second
Start Fraction 2 over 3 End Fraction beat per second

2 beats per second
2 beats per second

3 beats per second
To find the average number of heartbeats per second, we would need more information or data about the number of heartbeats over a specific time period. Without this information, we cannot determine the average number of heartbeats per second. Therefore, the correct response would be "Not enough information provided."
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