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
9 answers
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.
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
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.
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
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.
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.
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.
the answers are 2, 3, 1 1/2, 2/3, so WHICH ONE IS IT
Apologies for the confusion. Based on the given data points of (4,6), (6,9), (10,15), and (12,18), let's calculate the average number of heartbeats per second.
To find the average, we need to calculate the total change in y-values and total change in x-values, and then divide them by the number of data points.
Total change in y-values: (6 - 4) + (9 - 6) + (15 - 10) + (18 - 12) = 2 + 3 + 5 + 6 = 16
Total change in x-values: (6 - 4) + (10 - 6) + (12 - 10) = 2 + 4 + 2 = 8
Number of data points: 4
Average number of heartbeats per second = Total change in y-values / Total change in x-values
= 16 / 8
= 2
Therefore, the average number of heartbeats per second is 2.
To find the average, we need to calculate the total change in y-values and total change in x-values, and then divide them by the number of data points.
Total change in y-values: (6 - 4) + (9 - 6) + (15 - 10) + (18 - 12) = 2 + 3 + 5 + 6 = 16
Total change in x-values: (6 - 4) + (10 - 6) + (12 - 10) = 2 + 4 + 2 = 8
Number of data points: 4
Average number of heartbeats per second = Total change in y-values / Total change in x-values
= 16 / 8
= 2
Therefore, the average number of heartbeats per second is 2.