IM 6.6.18 Lesson: More Relationships
Which one doesn’t belong? Explain your reasoning.
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[/img]
Mai is creating a rectangular banner to advertise the school play. The material for the banner is sold by the square foot. Mai has enough money to buy 36 square feet of material. She is trying to decide on the length and width of the banner.
If the length is 6 feet, what is the width?
If the length is 4 feet, what is the width?
If the length is 9 feet, what is the width?
Use several combinations of length and width to create a graph that shows the relationship between the side lengths of various rectangles with area 36 square feet.
To find different combinations of length and width that give an area of 36 square feet, Mai uses the equation [math]w=\frac{36}{l}[/math] , where [math]w[/math] is the width and [math]l[/math] is the length. Compare your strategy and Mai's method for finding the width. How were they alike or different?
Explain how the graph describes the relationship between length and width for different rectangles with area 36.
Suppose Mai used the equation [math]l=\frac{36}{w}[/math] to find the length for different values of the width. Would the graph be different if she graphed length on the vertical axis and width on the horizontal axis? Explain how you know.
A cereal manufacturer needs to design a cereal box that has a volume of 225 cubic inches and a height that is no more than 15 inches.
The designers know that the volume of a rectangular prism can be calculated by multiplying the area of its base and its height.[br][br]Describe how you found the missing values for the table.
Complete the table with pairs of values that will make the volume 225 inches cubed.
Write an equation that shows how the area of the base, [math]A[/math], is affected by changes in the height, [math]h[/math], for different rectangular prisms with volume 225 in[sup]3[/sup].
Plot the ordered pairs from the table on the graph to show the relationship between the area of the base and the height for different boxes box with volume 225 inches cubed.
A researcher who is studying mosquito populations collects the following data:
[img]data:image/png;base64,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[/img][br][br]The researcher said that, for these five days, the number of mosquitoes, [math]n[/math] , can be found with the equation [math]n=2^d[/math] where [math]d[/math] is the day in the study. Explain why this equation matches the data.
Use the ordered pairs in the table to graph the relationship between number of mosquitoes and day in the study for these five days.
Describe the graph. Compare how the data, equation, and graph illustrate the relationship between the day in the study and the number of mosquitoes.
If the pattern continues, how many mosquitoes will there be on day 6?
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?