Percent Increase and Decrease
Tax and Tip
Unit Rate
y=kx
Word Problems
100
Original: $350
New: $400
14% increase
100
Tip is ________ the total.
Added to
100
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
Sargento
100
Determine which equation does NOT represent a proportional relationship.
a. y = -2x
b. y = 3.4x
c. y = 3x
d. y = 5x - 7
d. y = 5x - 7
100
There are 40 students in a class and 30% of these students passed their history test. What number of these students passed the test?
What part of the percent proportion are you missing?
Part
200
Game Stop is having a sale on the newest game. It is normally priced at $66.64, but is on sale for $29.99. What is the percent decrease?
55%
200
When you add on a tip, it is a type of (a)
Mark up
200
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
$8 per pound
200
If the constant of proportionality is 7, which of the following is the correct proportional equation?
a. y=7k
b. y=k7
c. y=kx
d. y=7x
d. y=7x
200
What is the constant of proportionality?
3
300
The average number of shirts sold in the beach shop was 285 on Saturday in the summer. As the temperature went lower, the average number of shirts decreased to 114 every Saturday. What was the percentage decrease of in the average number of shirts sold in the shop?
60%
300
$40
300
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
15 customers per hour
300
Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours and went 520 miles. What was their constant rate of speed?
65 miles∕1hr
300
The city council voted on a new tax. The council has 20 members and 20% of the council members voted in favor of the new tax. How many members voted in favor of the tax?
4 council members
400
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?
20%
400
$25
400
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
102 words per minute
400
Which statement best describes this situation?
Kevin earns $8.25 per hour.
400
To help the environment and make some extra money, Brennan takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Brennan brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Brennan brings into the shop, x, and the amount (in dollars) the shop pays Brennan, y.
The equation that models this relationship is y=0.42x.
How much money would the shop pay Brennan for 50 pounds of cans? Write your answer as a whole number or decimal.
21
500
A tank of water starts the day with 12 gallons. By the end of the day, the tank of water has 8.4 gallons. What was the percent of change of the water in the tank?
30% decrease
500
Katrina bought a shirt that was originally $30. It was on sale for 15% off. What was her final cost?
$25.50
500
Every minute 2.2 gal of water flows from a shower. A family of 5 showers for an average of 9 minutes per person every morning. How many gallons of water will the family use every morning?
99 gallons
500
The grocery store sells cantaloupes for $4.50 per pound. Write an equation to represent the cost, c, for the number of pounds of cantaloupes bought, p.
c = 4.5p
500
Melissa's class is having a holiday party, and she is in charge of bringing juice. She decides to bring powdered juice mix and add water to it at school. There is a proportional relationship between the volume of water Melissa uses to make the juice (in liters), x, and the number of scoops of juice mix she uses, y.
To make the juice, Melissa combines 4 liters of water and 8 scoops of juice mix. Write the equation for the relationship between x and y.
y=2x