IM 6.6.18 Practice: More Relationships

[size=150]Elena is designing a logo in the shape of a parallelogram. She wants the logo to have an area of 12 square inches. She draws bases of different lengths and tries to compute the height for each.[/size][br][br]Write an equation Elena can use to find the height, [math]h[/math], for each value of the base, [math]b[/math].
Use your equation to find the height of a parallelogram with base [math]1.5[/math] inches.
Han is planning to ride his bike 24 miles.
How long will it take if he rides at a rate of 3 miles per hour?
How long will it take if he rides at a rate of 4 miles per hour?
How long will it take if he rides at a rate of 6 miles per hour?
Write an equation that Han can use to find [math]t[/math], the time it will take to ride 24 miles, if his rate in miles per hour is represented by [math]r.[/math]
On graph paper, draw a graph that shows t in terms of r for a 24-mile ride.
[size=150]The graph of the equation [math]V=10s^3[/math] contains the points [math](2,80)[/math] and [math](4,640)[/math].[br][br][size=100]Create a story that is represented by this graph.[/size][/size]
What do the points mean in the context of your story?
[size=150]You find a brass bottle that looks really old. When you rub some dirt off of the bottle, a genie appears! The genie offers you a reward. You must choose one:[br][center][br]$50,000 or a magical $1 coin.[/center]The coin will turn into two coins on the first day. The two coins will turn into four coins on the second day. The four coins will double to 8 coins on the third day. The genie explains the doubling will continue for 28 days.[/size][br][br]Write an equation that shows the number of coins, [math]n[/math], in terms of the day, [math]d[/math].
Create a table that shows the number of coins for each day for the first 15 days.
Create a graph for days 7 through 12 that shows how the number of coins grows with each day.
[size=150]At a market, 3.1 pounds of peaches cost $7.72. How much did the peaches cost per pound? Explain or show your reasoning. Round your answer to the nearest cent.[/size]
Andre set up a lemonade stand last weekend. It cost him $0.15 to make each cup of lemonade, and he sold each cup for $0.35.
If Andre collects $9.80, how many cups did he sell? 
How much money did it cost Andre to make this amount of lemonade? 
How much money did Andre make in profit?
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Information: IM 6.6.18 Practice: More Relationships