IM 7.4.3 Lesson: Revisiting Proportional Relationships
A recipe calls for 1/2 cup sugar and 1 cup flour. Complete the table to show how much sugar and flour to use in different numbers of batches of the recipe.
Two students are solving the same problem: At a hardware store, they can cut a length of rope off of a big roll, so you can buy any length you like. The cost for 6 feet of rope is $7.50. How much would you pay for 50 feet of rope, at this rate?
Kiran knows he can solve the problem this way:[br][br][img]data:image/png;base64,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[/img][br][br]What would be Kiran's answer?
Kiran wants to know if there is a more efficient way of solving the problem. Priya says she can solve the problem with only 2 rows in the table.[br][br][img]data:image/png;base64,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[/img][br][br]What do you think Priya's method is?
Tyler swims at a constant speed, 5 meters every 4 seconds. How long does it take him to swim 114 meters? Record your answer in the table.
Write an equation to represent the proportional relationship above.
A factory produces 3 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water? Complete the table.
Write an equation to represent the proportional relationship above.
A certain shade of light blue paint is made by mixing [math]1\frac{1}{2}[/math] quarts of blue paint with 5 quarts of white paint. How much white paint would you need to mix with 4 quarts of blue paint?
Write an equation to represent the proportional relationship above.
Different nerve signals travel at different speeds.
[list][*]Pressure and touch signals travel about 250 feet per second.[/*][*]Dull pain signals travel about 2 feet per second.[/*][/list][br]How long does it take you to feel an ant crawling on your foot?
How much longer does it take to feel a dull ache in your foot?
Lin runs [math]2\frac{3}{4}[/math] miles in [math]\frac{2}{5}[/math] of an hour. Tyler runs [math]8\frac{2}{3}[/math] miles in [math]\frac{4}{3}[/math] of an hour. [br][br]How long does it take each of them to run 10 miles at that rate?
Priya mixes [math]2\frac{1}{2}[/math] cups of water with [math]\frac{1}{3}[/math] cup of orange juice concentrate. Diego mixes [math]1\frac{2}{3}[/math] cups of water with [math]\frac{1}{4}[/math] cup orange juice concentrate. [br][br]How much concentrate should each of them mix with 100 cups of water to make juice that tastes the same as their original recipe? Explain or show your reasoning.
IM 7.4.3 Practice: Revisiting Proportional Relationships
It takes an ant farm 3 days to consume [math]\frac{1}{2}[/math] of an apple. At that rate, in how many days will the ant farm consume 3 apples?
To make a shade of paint called jasper green, mix 4 quarts of green paint with [math]\frac{2}{3}[/math] cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
[size=150]An airplane is flying from New York City to Los Angeles. The distance it travels in miles, [math]d[/math], is related to the time in seconds, [math]t[/math], by the equation [math]d=0.15t[/math]. [/size][br][br]How fast is it flying? Be sure to include the units.
How far will it travel in 30 seconds?
How long will it take to go 12.75 miles?
A grocer can buy strawberries for $1.38 per pound.
Write an equation relating [math]c[/math], the cost, and [math]p[/math], the pounds of strawberries.
A strawberry order cost $241.50. How many pounds did the grocer order?
Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles.
How far is it around the perimeter of Crater Lake?
What is the area of the surface of Crater Lake?
A 50-centimeter piece of wire is bent into a circle. What is the area of this circle?
Suppose Quadrilaterals A and B are both squares. Are A and B necessarily scaled copies of one another? Explain.