Is 5(3x +4) equivalent to 15x + 20 ?
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<span>Given the graph that shows the average number of the heartbeats for an active adult brown bear and hibernating brown bear
Part a</span>.
What does the point (2, 120) represent on the graph?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, point (2, 120) means that it takes an active adult brown bear an average of 2 minutes to have 120 heartbeat.
Part b.
What does the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represent?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represents the average number of heatbeats of an active brown dear and a hibernating brown dear per minute.
Part c.
Use the graph to find the bear’s average heart rate when it is active and when it is hibernating.
The bear's average heart rate is given by the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph.
This can be obtained by taking any two points from the graph and taking the slope.
Recall that the slope of a line is given by
For the average hearbeat of an active brown bear, using the points (1.5, 90) and (2, 120), we calculate the average heat rate as follows:
Average heart rate =
Also, for the average hearbeat of a hibernating brown bear, using the points (1.5, 18) and (2, 24), we calculate the average heat rate as follows:
Average heart rate =
Part a</span>.
What does the point (2, 120) represent on the graph?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, point (2, 120) means that it takes an active adult brown bear an average of 2 minutes to have 120 heartbeat.
Part b.
What does the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represent?
From the graph the x axis represent the time in minutes while the y axis represent the number of heartbeats.
Therefore, the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph represents the average number of heatbeats of an active brown dear and a hibernating brown dear per minute.
Part c.
Use the graph to find the bear’s average heart rate when it is active and when it is hibernating.
The bear's average heart rate is given by the ratio of the y-coordinate to the x-coordinate for each pair of points on the graph.
This can be obtained by taking any two points from the graph and taking the slope.
Recall that the slope of a line is given by
For the average hearbeat of an active brown bear, using the points (1.5, 90) and (2, 120), we calculate the average heat rate as follows:
Average heart rate =
Also, for the average hearbeat of a hibernating brown bear, using the points (1.5, 18) and (2, 24), we calculate the average heat rate as follows:
Average heart rate =
Hey there! I'm happy to help!
Let's set this up as a proportion (2 equal ratios).
If you multiply the diagonal numbers, their products will be equal. (412×g=103×184). This is called cross multiplying. Now we can solve for g.
412g=18952
Divide both sides by 412.
g=46
Therefore, the boat will need 46 gallons of gasoline to go 184 miles.
Have a wonderful day! :D