Graphs of Proportional Relationships Quick Check
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Question
Use the image to answer the question.
A graph shows an x-axis representing time in seconds ranging from 0 to 12 in increments of 2. The y-axis represents heartbeats ranging from 0 to 18 in increments of 3. The graph shows a line representing resting heart rate.
What is the average number of heartbeats per second?
(1 point)
Responses
2/3 beat per second
Start Fraction 2 over 3 End Fraction beat per second
3 beats per second
3 beats per second
2 beats per second
2 beats per second
1 1/2 beats per second
In order to determine the average number of heartbeats per second from the graph, we would look for two points on the line representing the resting heart rate where both the time in seconds (x-value) and the heartbeats (y-value) are clearly marked.
Since the actual graph is not provided here, I can't see the exact line. However, I can give you the methodology to find the average number of heartbeats per second.
Find two points on the line where you have exact values for both the time in seconds and the number of heartbeats. For example, let's say the line goes through point (4,6) and point (8,12). This means that at 4 seconds, there were 6 heartbeats, and at 8 seconds, there were 12 heartbeats.
Now you want to calculate the slope of the line, which gives you the heartbeats per second. The formula for slope (m) is:
m = (change in y) / (change in x)
Using the hypothetical points above:
m = (12 - 6) / (8 - 4) = 6 / 4 = 1.5
This means there are 1.5 heartbeats per second.
Given the options you provided:
- 2/3 beat per second
- 3 beats per second
- 2 beats per second
- 1 1/2 beats per second
The correct answer from these options, based on the calculated slope, would be "1 1/2 beats per second". However, you would need to use the actual points from the provided graph in your question to calculate the true average number of heartbeats per second for your specific case.