Unit Rate
Constant of Proportionality Equations
Percent Word Problems
Proportional or Nah
Integers
100
Jane drove 315 miles in 7 hours. How many miles did she drive on average each hour?
45 miles per hour
100
Bargains R Us store offers a 12 roll package of Wipey Wonder toilet paper for $2.59. Identify the Constant of Proportionality and write an equation.
C.O.P is 0.22
y = 0.22x
100
The Ford dealership sold fifteen red cars this month. Then, for Christmas, they sold twenty-five red cars. Was this a percent decrease or increase?
Increase
100
Proportion or not a proportion?
Not a proportion
100
What is the opposite of 14?
-14
200
Find the unit rate for 1 second:
25 feet in 10 seconds
2.5 feet
200
Isabelle babysits for 8 hours and makes $72.00. Identify the Constant of Proportionality and write an equation.
C.O.P is 9
y = 9x
200
The amount of football players last year was 22 boys. This year, there are 30 boys. What is the percent of change? Is it an increase or a decrease? Round to the nearest TENTH.
36.4% increase
200
Does the graph represent a proportional relationship? Why or why not?
?
No, it does not pass through the orign.
200
Which algorithm would you use to find the answer to this problem:
-5 + (-10)
Algorithm 2
300
Find the unit rate:
250 miles in 2 hours
125 miles per hour
300
5 bags of kidney beans weigh 1.25 pounds. Identify the Constant of Proportionality per bag and write an equation.
C.O.P is 0.25 (0.25 pounds per bag)
y=0.25x
300
Your grandma gets you a new game for your birthday. You peek at the receipt to see which game she got you and you notice the game costs $34.99, but there was a 7% tax included. How much did your grandma pay for the game at the register?
$37.44
300
Doe the following represent a proportional relationship?
4/5 = 10/12.5
yes
300
Simplify.
4 + (-16)
-12
400
Find the unit rate:
20 pieces of candy for $0.80
$0.04 per piece of candy
400
There are 1141 individual cheerios in 7 boxes of Cheerios. Identify the Constant of Proportionality and write an equation.
C.O.P is 163 (163 cheerios per box of Cherrios)
y=163x
400
Target wants to stock up on sweaters for fall. They buy sweaters for $12.50 each and then sell then to their customers for $25.99. What does the $12.50 represent in this situation?
WHOLESALE
400
Does the table represent a proportional relationship? Why or or why not?
No, because when you divide the y values by the x values you get 12 EXCEPT for the last one!
400
Simplify.
-17 + (-17)
-34
500
A store sees 12 customers in 25 minutes. What is the unit rate PER HOUR? Round your answer to the nearest whole number that MAKES SENSE.
28 customers
500
The volleyball team bought 12 packs of shirts for a total of $790.08.Identify the Constant of Proportionality and write an equation.
C.O.P is 65.84
y=65.84x
500
You went out to eat and spent $56.32 on your bill. You have a coupon for $10% off a bill of $50 or more. What would be the discounted price of your meal?
$50.69
500
Does each line represent a proportional relationship? Why or why not?
Blue: No because it does not go through the origin.
Purple and Green: Yes, because they are straight and go through the origin.
500
Simplify.
-234 + 179
-55