IM 8.3.5 Practice: Introduction to Linear Relationships

[size=150][size=100]A restaurant offers delivery for their pizzas. The total cost is a delivery fee added to the price of the pizzas. One customer pays $25 to have 2 pizzas delivered. Another customer pays $58 for 5 pizzas. How many pizzas are delivered to a customer who pays $80?[/size][/size]
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor.
How much would the painting company charge to paint a house that needs 20 hours of labor?
A house that needs 50 hours?
Draw a line representing the relationship between x, the number of hours it takes the painting company to finish the house, and y, the total cost of painting the house. Label the two points from the earlier question on your graph.
Find the slope of the line. What is the meaning of the slope in this context?
Tyler and Elena are on the cross country team.
[size=100][size=150]Tyler's distances and times for a training run are shown on the graph.[/size][br][/size][br][img]data:image/png;base64,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[/img][br][size=100][size=150]Elena’s distances and times for a training run are given by the equation [math]y=8.5[/math], where [math]x[/math] represents distance in miles and y represents time in minutes.[/size][/size][size=150][size=100][br][/size][/size][size=150][size=100][br]Who ran farther in 10 minutes? [/size][/size]
[size=150][size=100]How much farther?[/size][/size]
[size=150][size=100]Explain how you know.[/size][/size]
[size=150][size=100]Calculate each runner's pace in minutes per mile.[/size][/size]
[size=150][size=100]Who ran faster during the training run?[/size][/size]
[size=150][size=100]Explain or show your reasoning using the applet below.[/size][/size]
[size=150]Write an equation for the line that passes through [math](2,5)[/math] and [math](6,7)[/math].[/size]
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Information: IM 8.3.5 Practice: Introduction to Linear Relationships