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Explore proportional relationships and equations in recipes and sales scenarios. Learn how to find constant of proportionality, graph proportional relationships, and solve problems involving percentages and discounts.
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Roberto is making cakes. The number of cups of flour he uses is proportional to the number of cakes he makes. Roberto uses 22 ½ cups of flour to make 10 cakes. Which equation represents the relationship between f, the number of cups of flour Roberto uses, and c, the number of cakes he makes? a. F=4/9 c b. F=2 ¼ c c. F=2 ½ c d. F=10c
The value of y is proportional to the value of x. The constant of proportionality for this relationship is 2. On the grid below, graph this proportional relationship. Write an equation for this relationship. Explain the significance of points (0,0) and (1,y).
David uses ¼ cup of apple juice for every ½ cup of carrot juice to make a fruit drink. How many cups of apple juice does David use for 1 cup of carrot juice?
This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe. How many cups of sugar do you need for one cup of flour?
This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe. How many cups of sugar do you need for one cup of flour?
This diagram shows how much apple juice is mixed with carrot juice for a recipe. How many cups of apple juice are used for 1 cup of carrot juice?
This diagram shows how much apple juice is mixed with carrot juice for a recipe. How many cups of apple juice are used for 1 cup of carrot juice?
For a drink recipe, the amount of papaya juice is proportional to the amount of carrot juice. This equation represents the proportional relationship between the number of quarts of papaya juice (p) and carrot juice (c) in a recipe. 2p = 8c How many quarts of papaya juice are used for 1 quart of carrot juice?
For a drink recipe, the amount of papaya juice is proportional to the amount of carrot juice. This equation represents the proportional relationship between the number of quarts of papaya juice (p) and carrot juice (c) in a recipe. (1 1/3 )p = (3 1/3 )c How many quarts of papaya juice are used for 1 quart of carrot juice?
Select all tables that represent a proportional relationship between x and y.
Select all the graphs that show a proportional relationship.
This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost of electricity (c). Find the constant of proportionality (r). Using the value for r, write an equation in the form of c = rh that represents the relationship between the number of hours (h) and the total cost (c).
This graph shows a proportional relationship between x and y. Find the constant of proportionality (r). Using the value for r, write an equation in the form of y = rx.
This table shows a proportional relationship between x and y. Find the constant of proportionality (r). Using the value for r, writean equation in the form of y = rx.
This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost (c) of electricity. Write True or False for each statement about the graph.
Tim makes 80 gallons of paint by mixing 48 gallons of green paint with 32 gallons of blue paint. What part of every gallon is from green paint? The model represents 1 gallon of mixed paint. Shade the bars to show how much of the gallon is from green paint.
A bottle is ½ full. It contains 1/10 gallon of water. There are 16 cups in one gallon. Tell the total number of cups it takes to completely fill the whole bottle. .
Elias is a produce manager at a grocery store. He buys fresh vegetables from local farmers each week. Based on previous sales, he has identified the following ideal ratios (in pounds) to keep in stock for certain vegetables. The ratio of tomatoes to onions is 3:2. onions to peppers is 2:1. peppers to cucumbers is 2:5. This table shows the amount, in pounds, of each vegetable a local farmer has available to sell to Elias. Elias buys all 50 pounds of the farmer’s cucumbers. He then buys the remaining vegetables according to the ideal ratios shown above. Tell the amount of peppers, in pounds, Elias buys. Tell the amount of tomatoes, in pounds, Elias buys.
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. Find the difference in the amount Dave and Mel paid, including tax. Round your answer to the nearest cent.
A bicycle is originally priced at $80. The store owner gives a discount and the bicycle is now priced at $60. Find the percentage discount for the cost of the bicycle.
Dave has a 32 ounce energy drink. He drinks 10 ounces. Find the percentage of ounces Dave has left from his energy drink. Round your answer to the nearest hundredth.
Luke buys a television that is on sale for 25% off the original price. The original price is $120 more than the sale price. What is the original price of the television?
Jane wants to buy the following items at a store. • Jeans, $32.99 • Earrings, $29.99 • T-shirt, $9.99 • Shoes, $23.99 Jane will either use coupon A or coupon B to reduce the cost of her purchase. She sees some socks that cost $4.99. Jane thinks that adding socks to her purchase will cost her less than making the purchase without socks. Which option should Jane choose to spend the least amount of money? • Jane should add the socks to her purchase and then use Coupon A. • Jane should add the socks to her purchase and then use Coupon B. • Jane should make the purchase without socks and use Coupon A. • Jane should make the purchase without socks and use Coupon B.
The tires Mary wants to buy for her car cost $200 per tire. A store is offering the following deal. Buy 3 tires and get the 4th tire for 75% off! Mary will buy 4 tires using the deal. The sales tax is 8%. How much money will Mary save by using the deal versus paying the full price for all 4 tires? • $150 • $162 • $185 • $216
