Unit Rate and Constant of Proportionality
Are they Proportional?
Writing Equaions
Finding Percents
Applications
100
Sam sends 18 emails in 6 minutes. What is the unit rate of emails per minute
What is 3 emails per minute.
100
An ice cream shop charges $2 for 1 topping and $5 for 3 toppings. Is the price proportional to the number of toppings?
What is no
100
A flowers grows 4 inches per day. Write an equation to represent the relationship between amount of growth and number of days.
What is g = 4d
100
This is 25% of 1000
What is 250
100
A kendama is originally priced at $27.00. It is on sale for 20% off. What is the discount?
What is $5.40
200
Toby can bake 24 cookies with 4 cookie trays and 54 cookies with 9 cookie trays. What is the constant of proportionality
What is 6
200
These are two requirements for a graph to represent a proportional relationship
What is straight line, through the origin
200
Ally buys three shirts for a total of $99. Between the number of shirts and the total cost, what is the dependent variable?
What is total cost
200
This is 84% of 156
What is 131.04
200
Your family went to eat at a restaurant. There were 10 of you there so the restaurant is charging 18% gratuity. If the bill was $246.89, how much money should be left for tip?
What is $44.44
300
A graph consists of the points (3,2) and (9,6). What is the unit rate of the graph?
What is 2/3 (two-thirds)
300
A factory can produce 20 iphones in 60 minutes, 50 iphones in 150 minutes and 4 iphones in 12 minutes. Is this a proportional relationship?
What is yes, 1 phone takes 3 minutes.
300
Debbie charges $16 per hour to babysit, plus an extra $5 traveling fee to get to the house. Write an equation to represent the total amount she will earn, d, after working a number of hours, h
What is d = 16d + 5
300
What percent of 200 is 90
What is 45%
300
A customer bought a item worth $89. If there is 8.9% sales tax, how much will she pay in total?
What is $96.92
400
A jeep can drive 192 miles on 6 gallons of gas, and 448 miles on 14 gallons of gas. Using the constant of proportionality, how many miles could he drive on 10 gallons of gas?
What is 320 miles
400
Trey is observing the growth of a sunflower. After 1 day its height was 2 inches, after 4 days the height was 10 inches, and after one week the height was 2 feet. Is height proportional to amount of days?
What is no
400
A great white shark can swim 110 yards in 5 minutes. Write an equation to represent this relationship. d = distance swam m = minutes
What is d = 22m
400
What is 5/8 as a percent?
What is 62.5%
400
A store is having a sale on sneakers. Each pair is 15% off. On top of that you have a coupon for 10% off that will be applied to the sale price. If the shoes originally cost $38, how much will you pay after the sale and coupon?
What is 29.07
500
What is the constant of proportionality? Y 8 10 12 X 2 5 3
What is they are not proportional, there is no constant of proportionality.
500
A 12 oz box of crackers is $2.08, while a 16 oz box costs $2.99. Is price proportional to size? If yes, what is the unit rate, if not, which is the better buy?
What is Not proportional, the 12 oz box is a better buy ($.17/oz)
500
Trevor is bringing some friends to the movies. He knows that he has to pay for a ticket for each person and one large popcorn. With the following variables, write an equation to represent the number of friends he will bring to his total cost. f = number of friends c = total cost m = cost of a movie ticket p = cost of popcorn
What is c = m*f + p
500
Since 2009 a carton of mile has raised in price from $1.08 to $1.99. What is the percent of change?
What is 84.3%
500
You work for a company and your boss has offered you a 12% raise! However, taxes will take away 12% of your new salary. If you started at the company earning $50,000, how much will you earn after the raise and taxes?
What is $49,280