Percent of Change
What is the percent of change from 5 to 6?
Hint: Percent of change = Amount of Change/Original Amount
20% increase
After sales tax, a $19 atlas costs $27. What is the sales tax percentage? Round your answer to the nearest whole percent.
Hint: Percent of Change = (Price With Tax - Price Before Tax)/Price Before Tax
About 42%
The Crafty Clay Art Show has invited Shelby to make and sell her famous decorative plates. She molds the plates out of clay and then paints them. There is a proportional relationship between the number of plates Shelby makes, x, and the amount of clay she uses (in pounds), y.
To make 2 plates, Shelby uses 4 pounds of clay. Write the equation for the relationship between x and y.
y = 2x
Solve for t.
7t - 3t = 16
4
Solve for c.
-4/5v - 2 = 10
-15
What is the percent of change from 20 to 13?
Hint: Percent of change = Amount of Change/Original Amount
35% decrease
A mother explains to her child that the price on the sign is not the total price for an antique clock, because the price does not include tax. She points out that an $880 antique clock actually costs $968 once the sales tax is added. What is the sales tax percentage?
Hint: Percent of Change = (Price With Tax - Price Before Tax)/Price Before Tax
10%
While relaxing on his front, Farid notices a garden snail crawling on the sidewalk. Farid is amazed at how slowly the snail moves, so he starts timing it. There is a proportional relationship between the amount of time (in minutes) that Farid spends timing the snail, x, and the distance (in feet) that the snail moves, y.
In 10 minutes, the snail moves only 22.8 feet. Write the equation for the relationship between x and y.
y = 2.28x
Solve for m.
3m - 3m + 2m = 20
10
Solve for y.
-1/7(y + 8) = 2
-22
What is the percent of change from 50 to 69?
Hint: Percent of change = Amount of Change/Original Amount
38% increase
A shopper at a clearance sale is pleased to discover some picnic baskets on sale for $43 each. The original price tags read $50. What is the discount percentage?
Hint: Percent of Change = (Original Price - Discount Price)/Original Price
14%
Every month, Midtown Grocery Store donates 8-ounce cans of vegetables to a food bank. The food bank's volunteers fill bags with these cans and deliver the bags to families in need. There is a proportional relationship between the number of bags the food bank's volunteers can fill, x, and the total number of cans they deliver, y.
The equation that models this relationship is y = 12x.
How many bags can the volunteers fill with 72 donated cans? Write your answer as a whole number or decimal.
6
Solve for q.
17q - 6q + q - 9q = 15
5
Solve for m.
⅜(m + ⅔) = 2
4 ⅔
What is the percent of change from 17.2 to 55.9?
Hint: Percent of change = Amount of Change/Original Amount
225% increase
A website is selling antique pull toys for $1,467, but mentions that they originally cost $2,445. What is the discount percentage?
Hint: Percent of Change = (Original Price - Discount Price)/Original Price
40%
Every day after school, Josh and his sister Vicky play their favorite video game, Wizarding Legends. The goal of the game is to earn power points by defeating goblins. There is a proportional relationship between the number of goblins defeated, x, and the number of power points earned, y.
The equation that models this relationship is y = 3x
How many goblins does Josh need to defeat to earn 87 power points? Write your answer as a whole number or decimal.
29
Solve for v.
5v - 5v + 5v + 1 = 16
3
Solve for z.
-2/7z - 2 = -3
3 ½
What is the percent of change from 86.5 to 66.6? Round you answer to the nearest tenth of a percent.
Hint: Percent of change = Amount of Change/Original Amount
About 23% decrease
Speedy’s Sports Shop is selling bicycles at $230 each. The store paid $170 for each bicycle. What percentage is the markup? Round your answer to the nearest whole percent.
Hint: Percent of Change = (Selling Price - Purchase Price)/Purchase Price
About 35%
Eagle Airlines flies charter planes all over the world. Andy, one of the airlines' top pilots, flies routes in Europe and North Africa. There is a proportional relationship between the distance Andy flies (in kilometers), x, and the amount of fuel his plane uses (in kilograms), y.
The equation that models this relationship is y = 0.78x.
How much fuel does Andy's plane use when he flies 90 kilometers? Write your answer as a whole number or decimal.
70.2
Solve for w.
15w + 5w - 15w + 12 = -18
-1.2
Solve for c.
-⅓(c - 2) = ¾
-1/4