Use the image to answer the question below.

Question

the slope on the graph starts at (0,0) and continues on to (6, 6), (8, 9), (10, 15), (12, 18)

Given x is time (in seconds) and y is heartbeats, what is the average number of beats per second?

(1 point)
Responses

2 beats per second
2 beats per second

3 beats per second
3 beats per second

112 beats per second
1 and 1 half beats per second

23 beats per second
2 thirds beats per second
Skip to navigation

Answer 1

To calculate the average number of beats per second, we need to find the total number of beats at the given points and the total time at which these beats occur.

From the provided points, we can see the heartbeats (y-values) at different times (x-values):

• At x = 0 seconds, y = 0 beats
• At x = 6 seconds, y = 6 beats
• At x = 8 seconds, y = 9 beats
• At x = 10 seconds, y = 15 beats
• At x = 12 seconds, y = 18 beats

The final heartbeats at 12 seconds is 18 beats.

To find the average beats per second, we'll use the formula:

\[ \text{Average beats per second} = \frac{\text{Total beats}}{\text{Total time}} \]

Here, the total beats at 12 seconds is 18, and the total time is 12 seconds.

Using the formula:

\[ \text{Average beats per second} = \frac{18 \text{ beats}}{12 \text{ seconds}} = 1.5 \text{ beats per second} \]

Thus, the average number of beats per second is 1 and 1 half beats per second.