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
2 beats per second
2 beats per second
3 beats per second
3 beats per second
1 1/2 beats per second
1 Start Fraction 1 over 2 End Fraction beats per second
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To determine the average number of heartbeats per second, we need to calculate the slope of the line representing the resting heart rate on the graph. Since the y-axis represents heartbeats and the x-axis represents time in seconds, the slope will give us the rate of change in heartbeats per second.
To find the slope, we can choose two points on the line and calculate the change in y (heartbeats) divided by the change in x (time in seconds) between those two points.
Let's choose the points (0, 0) and (12, 18) on the line.
The change in y = 18 - 0 = 18
The change in x = 12 - 0 = 12
So, the slope is 18/12 = 3/2 = 1 1/2 beats per second.
Therefore, the average number of heartbeats per second is 1 1/2 beats per second.
Use the image to answer the question.
A figure shows four graphs labeled A, B, C, and D, each with an x and y axis and 0 at the origin, and each showing a curve. Graph A shows a straight line with a negative slope having x and y intercepts. Graph B shows a straight line with a positive slope having a y intercept above origin. Graph C shows an increasing concave up curve initiating at the origin. Graph D shows a straight line with a unit slope.
Decide which graph shows a proportional relationship.
(1 point)
Responses
D
D
C
C
B
B
A