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. The line passes through the following plotted points: left parenthesis 4 comma 6 right parenthesis; left parenthesis 6 comma 9 right parenthesis; left parenthesis 10 comma 15 right parenthesis; and left parenthesis 12 comma 18 right parenthesis.
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
2 beats per second
2 beats per second
3 beats per second
3 beats per second
23 beat per second
Start Fraction 2 over 3 End Fraction beat per second
Skip to navigation
To calculate the average number of heartbeats per second, we need to determine the change in heartbeats divided by the change in time.
The change in heartbeats is 18 - 6 = 12 beats.
The change in time is 12 - 4 = 8 seconds.
Therefore, the average number of heartbeats per second is 12/8 = 1.5 beats per second.
Answer: Start Fraction 1 over 2 End Fraction beats per second
To find the average number of heartbeats per second, we need to find the total number of heartbeats and divide it by the total time in seconds.
From the graph, we can see that the line representing resting heart rate passes through the plotted points: (4,6), (6,9), (10,15), and (12,18).
To find the total number of heartbeats, we add up the y-values of these points: 6 + 9 + 15 + 18 = 48.
To find the total time in seconds, we look at the x-axis range: 0 to 12 in increments of 2. This means there are 7 intervals of 2 seconds each. Therefore, the total time in seconds is 7 x 2 = 14.
Finally, we divide the total number of heartbeats by the total time in seconds: 48 heartbeats / 14 seconds = 3.43 (rounded to two decimal places).
Therefore, the average number of heartbeats per second is 3.43 beats per second.
To answer the question, we need to find the average number of heartbeats per second.
First, let's look at the graph and the given data points. The line representing resting heart rate passes through the points (4, 6), (6, 9), (10, 15), and (12, 18).
We can calculate the change in heart rate (y-coordinates) over the corresponding change in time (x-coordinates) for each of these points.
For the first interval, from (4, 6) to (6, 9), the change in heart rate is 9 - 6 = 3, and the change in time is 6 - 4 = 2.
For the second interval, from (6, 9) to (10, 15), the change in heart rate is 15 - 9 = 6, and the change in time is 10 - 6 = 4.
For the third interval, from (10, 15) to (12, 18), the change in heart rate is 18 - 15 = 3, and the change in time is 12 - 10 = 2.
Now, we can calculate the average change in heart rate per unit time by adding up the changes in heart rate and dividing by the sum of the changes in time for all the intervals:
Average heart rate change per unit time = (3 + 6 + 3) / (2 + 4 + 2)
= 12 / 8
= 1.5 beats per second
Therefore, the average number of heartbeats per second is 1.5 beats per second.