IM 8.5.8 Lesson: Linear Functions
Diego said that these graphs are ordered from smallest to largest. Mai said they are ordered from largest to smallest. But these are graphs, not numbers!
What do you think Diego and Mai are thinking?[br][br][img]data:image/png;base64,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[/img]
Jada earns $7 per hour mowing her neighbors’ lawns.
Name the two quantities in this situation that are in a functional relationship.
Which did you choose to be the independent variable?
What is the variable that depends on it?
Write an equation that represents the function.[br]
Here is a graph of the function. Label the axes. Label at least two points with input-output pairs.
[size=150]To convert feet to yards, you multiply the number of feet by [math]\frac{1}{3}[/math].[/size][br]Name the two quantities in this situation that are in a functional relationship.
Which did you choose to be the independent variable?
What is the variable that depends on it?
Write an equation that represents the function.
Draw the graph of the function. Label at least two points with input-output pairs.
There are four tanks of water.
[list][*]The amount of water in gallons, [math]A[/math], in Tank A is given by the function [math]A=200+8t[/math], where [math]t[/math] is in minutes.[/*][*]The amount of water in gallons, [math]B[/math], in Tank B starts at 400 gallons and is decreasing at 5 gallons per minute. These functions work when [math]t\ge0[/math] and [math]t\le80[/math].[/*][/list][br]Which tank started out with more water?
Write an equation representing the relationship between [math]B[/math] and [math]t[/math].
One tank is filling up. The other is draining out. Which is which? How can you tell?
The amount of water in gallons, [math]C[/math], in Tank C is given by the function [math]C=800-7t[/math]. Is it filling up or draining out? Can you tell just by looking at the equation?
The graph of the function for the amount of water in gallons, D, in Tank [math]D[/math] at time [math]t[/math] is shown. 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[/img][br]Is it filling up or draining out? How do you know?
Pick a tank that was draining out. How long did it take for that tank to drain? What percent full was the tank when 30% of that time had elapsed? When 70% of the time had elapsed?
What point in the plane is 30% of the way from [math]\left(0,15\right)[/math]to [math]\left(5,0\right)[/math]? 70% of the way?
What point in the plane is 30% of the way from [math]\left(3,5\right)[/math]to [math]\left(8,6\right)[/math]? 70% of the way?
Noah is depositing money in his account every week to save money. The graph shows the amount he has saved as a function of time since he opened his account.
[img]data:image/png;base64,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[/img][br][size=150]Elena opened an account the same day as Noah. The amount of money [math]E[/math] in her account is given by the function [math]E=8w+60[/math], where [math]w[/math] is the number of weeks since the account was opened.[/size][br][br]Who started out with more money in their account? Explain how you know.
Who is saving money at a faster rate? Explain how you know.
How much will Noah save over the course of a year if he does not make any withdrawals?
How long will it take Elena to save that much?
IM 8.5.8 Practice: Linear Functions
Two cars drive on the same highway in the same direction. The graphs show the distance, [math]d[/math], of each one as a function of time, [math]t[/math]. Which car drives faster? Explain how you know.[br][br][img]data:image/png;base64,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[/img][br]
Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile of your trip.
For Service B, is the additional charge per mile greater or less than 30 cents per mile of the trip?[br]Explain your reasoning.
[size=150]Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.[/size][size=150][br][br][size=100]As you read the graphs left to right, would the lines go up or down?[/size][/size]
What is different about the lines representing Kiran's run and Clare's run?
What is the same about the lines representing Kiran's run and Clare's run?
Write an equation for each line.
[img]data:image/png;base64,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[/img]