IXL Proportional Relationships

y = 1/2x

To help the environment and make some extra money, Ronald takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Ronald brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Ronald brings into the shop, x, and the amount (in dollars) the shop pays Ronald, y. What is the best equation for this proportional relationship?

y = 5x

When a truck full of boxes arrives at the Georgetown Post Office, Bill unloads the truck by placing the boxes on a conveyor belt. Bill's coworkers are impressed with how fast Bill does his job. There is a proportional relationship between the time (in minutes) Bill spends unloading the truck, x, and the number of boxes he unloads from the truck, y. What is the best equation for this proportional relationship?

y = 10x

When a truck full of boxes arrives at the Richmond Post Office, John unloads the truck by placing the boxes on a conveyor belt. John's coworkers are impressed with how fast John does his job. This graph shows the relationship between the time (in minutes) John spends unloading the truck, x, and the number of boxes he unloads from the truck, y. What is the best equation for this proportional relationship?

4

Craig loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour Craig uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality?

y = 3x

A witch brewed a magical invisibility potion. There is a proportional relationship between the amount of potion the witch drinks (in milliliters), x, and the amount of time she is invisible (in minutes), y. What is the best equation for this proportional relationship?

y = 2x

Choc-Arcade has Kimi's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Kimi with free game tokens every time she buys chocolates. There is a proportional relationship between the number of chocolates Kimi buys, x, and the number of free game tokens she gets, y. What is the best equation for this proportional relationship?

3

Dakota is starting a summer camp for children with hearing impairments. She needs to hire enough counselors to chaperone the children. There is a proportional relationship between the number of counselors Dakota hires, x, and the maximum number of children who can attend the camp, y. What is the constant of proportionality?

1

Desmond loves to play the piano but doesn't like practicing the exercises his piano teacher assigns. Desmond knows the exercises will help him play better though, so he tries to motivate himself using his favorite treat — chocolate chip cookies. There is a proportional relationship between the amount of time (in hours) that Desmond practices the piano, x, and how many cookies he gives himself, y. What is the constant of proportionality?

y = 7/10x

Eagle Airlines flies charter planes all over the world. Kelsey, one of the airlines' top pilots, flies routes in Europe and North Africa. There is a proportional relationship between the distance Kelsey flies (in kilometers), x, and the amount of fuel her plane uses (in kilograms), y. Kelsey's plane uses 56 kilograms of fuel to travel 80 kilometers. What is the best equation for this proportional relationship?

8

Ever since Tammy was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Tammy's garden (in square feet), x,and the number of carrots she can grow at a time, y. What is the constant of proportionality?

y = 24x

Ever since Vera was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Vera's garden (in square feet), x, and the number of carrots she can grow at a time, y. She can grow 120 carrots at a time if her garden is 5 square feet. What is the best equation for this proportional relationship?

5

Every Sunday, Annie and her friends get together to play their favorite board game, TheGems of Rawumba. Whoever collects the most gems wins! Players can earn gems by building mines. There is a proportional relationship between the number of mines Annie builds, x, and the number of gems she earns, y. What is the constant of proportionality?

2

Every Sunday, Sophia and her cousins get together for brunch. This week, Sophia is in charge of making fresh-squeezed orange juice. There is a proportional relationship between the number of oranges Sophia squeezes, x, and the amount of juice (in ounces) she makes, y. What is the constant of proportionality?

3

Healthy Grains is an organic food company that makes several different kinds of trail mix. The company's Sweet and Salty trail mix includes dark chocolate and almonds, and it comes in different-sized packages. There is a proportional relationship between the amount of dark chocolate (in ounces), x, and the amount of almonds (in ounces), y, in each package of Sweet and Salty trail mix. What is the constant of proportionality?

y = 3/10x

To help the environment and make some extra money, Oliver takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Oliver brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Oliver brings into the shop, x, and the amount (in dollars) the shop pays Oliver, y. Last month, Oliver brought 30 pounds of cans into the shop and was paid $9. What is the best equation for this proportional relationship?

y = 4x

Over the summer, Castroville Science Academy renovates its building. The academy's principal hires Leslie to lay new tile in the main hallway. There is a proportional relationship between the length (in feet) of hallway Leslie covers with tiles, x, and the number of tiles she needs, y. What is the best equation for this proportional relationship?

y = 9x

Over the summer, Lancaster Science Academy renovates its building. The academy's principal hires Abby to lay new tile in the main hallway. There is a proportional relationship between the length (in feet) of hallway Abby covers with tiles, x, and the number of tiles she needs, y. What is the best equation for this proportional relationship?

y = 35x

Pablo wanted to drive a car that uses less gasoline, so he bought a hybrid. This graph shows the relationship between the volume of gasoline Pablo's car uses when driving on the highway (in gallons), x, and the distance he drives it on the highway (in miles),y. What is the best equation for this proportional relationship?

y = 6x

Sarah loves to bake blueberry muffins for her friends and family. There is a proportional relationship between the volume of flour Sarah uses (in cups), x, and the number of muffins she bakes, y. Using 1 cup of flour, Sarah can bake 6 muffins. What is the best equation for this proportional relationship?

y = 12x

She looks up each measurement in feet online to find the correct number of inches. This graph shows the relationship between the number of feet, x, and the number of inches, y. What is the best equation for this proportional relationship?

1

The Bountiful Harvest Festival awarded Jenny and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes. There is a proportional relationship between the number of potatoes Jenny peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y. What is the constant of proportionality?

4

The housekeeping staff at the Weary Traveler Hotel rotates job assignments every day. Today, Sam is in charge of folding the freshly cleaned bedsheets. There is a proportional relationship between the amount of time (in minutes) Sam spends folding, x, and the number of bedsheets he folds, y. What is the constant of proportionality?

y = 1x

This holiday weekend, Trevor is going to Chicago to shop and see a baseball game. To avoid traffic, Trevor decides to take the train. There is a proportional relationship between the time (in minutes) Trevor spends riding the train, x, and the distance he travels (in miles), y. What is the best equation for this proportional relationship?

y = 96x

To get in shape for basketball season, Martin works out every day before breakfast. This morning, he decides to jump rope. He sets a timer and starts jumping. There is a proportional relationship between the time (in minutes) that Martin has been jumping, x, and the total number of jumps, y. After 5 minutes, Martin has jumped 480 times. What is the best equation for this proportional relationship?