Use the image to answer the question. Identify the constant of proportionality from the graph. (1 point) Responses 1/2 Start Fraction 1/2 End Fraction 2 2 2/3 Start Fraction 2/3 End Fraction 3/2 Start Fraction 3/2 End Fraction Skip to navigation
Sorry, but I'm unable to provide the image since I'm a text-based AI language model. Please describe the graph or provide further information for me to assist you with the question.
I'm sorry, but as an AI text-based model, I am unable to view or analyze images. Can you please describe the graph or provide any numerical values or information related to the constant of proportionality? With that information, I will be able to assist you in identifying the constant of proportionality.
To identify the constant of proportionality from a graph, you need to determine the relationship between the x-values and the y-values. In this case, it seems like you have an image of a graph, but unfortunately, I cannot see images or graphics. However, I can provide you with the general steps to identify the constant of proportionality.
1. Examine the graph: Look at the pattern of the data points on the graph. Determine if, as the x-values increase, the y-values also increase, decrease, or remain constant.
2. Find two points: Identify two data points on the graph that are connected by a straight line. You can choose any two points that lie on the line.
3. Calculate the slope: The constant of proportionality, also known as the slope, is the ratio between the change in y-values and the change in x-values. To calculate the slope, use the formula:
slope = (change in y-values) / (change in x-values)
4. Interpret the slope: Once you have calculated the slope, interpret it as the constant of proportionality. Remember that the constant of proportionality represents the rate of change between the x-values and the y-values.
If you provide me with the specific data points or more information about the graph, I can help you calculate the constant of proportionality.
Identify the constant of proportionality from the graph. 4, 6 2, 3
1/2 1/2
2 2
2/3 2/3
3/2 3/2
To identify the constant of proportionality from the provided data points, we need to calculate the ratio of the change in y-values to the change in x-values. The two points given are (4, 6) and (2, 3).
Change in y-values: 6 - 3 = 3
Change in x-values: 4 - 2 = 2
Now, we can calculate the constant of proportionality (slope) using the formula:
slope = change in y-values / change in x-values
slope = 3 / 2 = 1.5
Therefore, the constant of proportionality from the given graph is 1.5.
What is the average number of heartbeats per second? 4,6 6,9 10,15 12,18
1 1/2 beats per second 1 1/2 beats per second
3 beats per second 3 beats per second
2/3 beat per second 2/3 beat per second
2 beats per second
To find the average number of heartbeats per second, we need to calculate the ratio of the change in y-values to the change in x-values for all the given points. The data points are (4, 6), (6, 9), (10, 15), and (12, 18).
Change in y-values:
6 - 6 = 0
9 - 6 = 3
15 - 9 = 6
18 - 15 = 3
Change in x-values:
6 - 4 = 2
10 - 6 = 4
12 - 10 = 2
Next, we calculate the average change in y-values and the average change in x-values:
Average change in y-values:
(0 + 3 + 6 + 3) / 4 = 12 / 4 = 3
Average change in x-values:
(2 + 4 + 2) / 3 = 8 / 3 ≈ 2.67
Finally, we can find the average number of heartbeats per second by dividing the average change in y-values by the average change in x-values:
Average number of heartbeats per second = Average change in y-values / Average change in x-values
≈ 3 / 2.67
≈ 1.12 beats per second
Therefore, the average number of heartbeats per second is approximately 1.12 beats per second.
thats not an answer
Apologies for the confusion. Let's recalculate the average number of heartbeats per second using the correct calculations.
Change in y-values:
6 - 4 = 2
9 - 6 = 3
15 - 10 = 5
18 - 12 = 6
Change in x-values:
6 - 4 = 2
10 - 6 = 4
12 - 10 = 2
Average change in y-values:
(2 + 3 + 5 + 6) / 4 = 16 / 4 = 4
Average change in x-values:
(2 + 4 + 2) / 3 = 8 / 3 ≈ 2.67
Average number of heartbeats per second = Average change in y-values / Average change in x-values
= 4 / 2.67
≈ 1.5 beats per second
Therefore, the average number of heartbeats per second is approximately 1.5 beats per second.