IM Alg1.5.21 Practice: Predicting Populations

The table shows the height of a ball after different numbers of bounces.
[center][img]data:image/png;base64,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[/img][/center]Can the height, [math]h[/math], in centimeters, after [math]n[/math] bounces be modeled accurately by a linear function? Explain your reasoning.[br]
Can the height, [math]h[/math], after [math]n[/math] bounces be modeled accurately by an exponential function? Explain your reasoning.[br]
Create a model for the height of the ball after [math]n[/math] bounces and plot the predicted values with the data.[br]
Use your model to estimate the height the ball was dropped from.
Use your model to estimate how many bounces it takes before the rebound height is less than 10 cm.
Mai used a computer simulation to roll number cubes and count how many rolls it took before all of the cubes came up sixes.
[size=150]Here is a table showing her results.[/size][br][center][img]data:image/png;base64,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[/img][/center][br]Would a linear or exponential function be appropriate for modeling the relationship between [math]d[/math] and [math]r[/math]? Explain how you know.
A ramp is two meters long.
[size=150]Priya wants to investigate how the distance a basketball rolls is related to the location on the ramp where it is released.[br][/size][br]Recommend a way Priya can gather data to help understand this relationship.
Here are the graphs of three functions.
[img]data:image/png;base64,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[/img][br]Which of these functions decays the most quickly?
Which one decays the least quickly?
The bungee jump in Rishikesh, India is 83 meters high. The jumper free falls for 5 seconds to about 30 meters above the river. Draw a graph of the bungee jump in Rishikesh.
Identify and describe three pieces of important information you can learn from the graph of the bungee jump.
Close

Information: IM Alg1.5.21 Practice: Predicting Populations