Problems
Percent Proportion
Use proportions to help solve
Percent Increase/Decrease.
(Name the percent and whether increase or decrease)
Direct or inverse proportion?
"Definitions"
100

The amount of money donated at a charity fundraising event is directly proportional to the number of people at the event. 6 people at the event donated a total of $120. How much did 50 people at the event donate?

What is 1,000?

100

What percent is 24 of 300? (Hint: 300 is the original value)

What is 8%

100
$12 to $6
What is 50% decrease
100

x=3, y=7, k=21

What is inverse proportion

100
All percentages can be written as a rate per ______.
What is 100
200

John buys a pair of shoes for $52 and pays $2.60 sales tax. How much sales tax will his friend pay if his friend purchases a shirt for $28?

What is $1.30

200

What percent of 140 is 3.5?

What is 2.5%

200
48 notebooks to 14 notebooks
What is 71% decrease
200

x=2, y=4, k=2

What is direct proportion?

200

Name one equation for direct proportion

What is y=kx OR k=y/x

300

It costs $78 to rent a pair of skis for 3 days. Find the cost of renting the skis for a week. Explain your work.

78/3=x/7. Multiply 78/3 times 7. $182

300
What percent of 4000 is 64?
What is 1.6%
300
$240 to $320
What is 33% increase
300

The graph looks like a curve and may or may not cross x=1, but never crosses the x- or y-axis

What is inverse proportion?

300

What is the ratio for percent increase

What is amount increase over original amount

400

Emma can type 275 words in 5 minutes. The number of words she types is directly proportional to the length of time she takes to type, t minutes. How many minutes will it take her to type a 935 word document?

What is 17 minutes

400

What number is 103% of 127?

What is 130.81

400
624 feet to 702 feet
What is 13% increase
400

The graph is a straight line. It must go through the origin (0,0).

What is direct proportion

400

Name one equation for inverse proportion

What is xy=k OR y=k/x

500

Blake needs to determine the height of each tree on his tree farm. He knows the height of the tree, h feet, is directly proportional to the length of its shadow, d feet. The length of a shadow cast by an 8 foot tall tree is 5 feet. Find the constant of proportionality.

What is 8/5

500

63 is what percent of 9?

What is 700%

500

In 2004, 12.9 children played soccer in schools on average. In 2012, 13.8 children played soccer in schools on average. Find the percent of change.

What is 7%

500

This is the point that can be easily used to find the COP of a direct proportion.

What is the point (1, y)

500

Describe how to find the percent increase or decrease if you know the original price and the new price of something.

What is 100*the difference in price/the original price

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