Number System
Unit Rate
Scale Factor/Proportional Relationships
Proportional Relationships
Percentages
100
Evaluate: (-3)(3)(-20)
180
100
A recipe calls for 2 5/8 cups of sugar for every 2/3 cup of chocolate chips used. How many cups of sugar are needed for each cup of chocolate chips?
3.94 cups of sugar per cup of chocolate chips
100
The model of a corvette has a scale of 1 in = 4ft. If the real corvette is 16ft, how large is the model of the corvette?
4 in
100
Arrange the following numbers to form a pair of equivalent ratios. 10, 6, 30, 18
6/10 and 18/30
or 10/6 and 30/18
100
Maria owns a nail salon. She charges $40 for a manicure and pedicure. She is offering a 15% discount for first time customers. If sales tax is 4.5%, what will a first time customer pay for a manicure and pedicure?
$35.53
200
-1/6
200
Maria walked 2/5 of a mile every 1/6 of an hour. Express her unit rate in miles per hour.
2.4 miles per hour
200
The scale drawing of a new architecture project calls for 1 in = 3 ft. If the drawing of the room has dimensions of 5in by 9in, what is the area of the actual room?
405ft2
200
A graph goes through the points (1.5, 90), (6,360), and (10.5, 630). Are these points proportional? What is the constant of proportionality if they are?
Yes! k = 60
200
Tickets to an upcoming concert sell for $35 each. 120 tickets were sold in the first hour and 60% more were sold the next hour. How much money did the concert raise in ticket sales?
$10,920
300
The temperature at 6am was -40 F by 8 am the temperature has increased to 4 F. What is the difference in temperature from 6am till 8 am?
44 F
300
The Lawsons want to drive 288 miles to Rainbow Falls in 6 hours. What should their average speed be in miles per hour?
48 miles per hour
300
The point (12, 8) lies on a proportional graph. Does the point (3, 2) also lie on this graph? How do you know?
Yes! They have the same constant of proportionality
300
Is the following table proportional? If so, what is the constant of proportionality?
No!
300
A group of students from I.S. 75 go out to lunch. The bill comes to $123.50. If they tip the waiter 20% and pay a 7% sales tax on the original bill, what is their grand total?
$156.85
400
A factory worker can produce 140 zippers in 4 minutes. Write an equation that shows the relationship between the number of zippers, z, and the time , m, that she produces.
z = 35m
400
There are 18.5 ounces of soup in a can. This is equivalent to 524 grams. Jenna has 8 ounces of soup. How many grams does she have? Round your answer to the nearest whole gram.
227 grams
400
16) Ryan reads 64 words in 4 minutes. Which equation shows the relationship between the number of words, w, and the time in minutes, that he speaks.
(a) w= 64m (b) w = 4m (c) w = 16m (d) w= 256m
(c) w = 16m
400
The point (2, 100) is on the graph below. What does this point represent.
$100 for 2 hours
400
United airlines is offering a discounted ticket for all of its upcoming flights. Flights to Tampa Florida usually sell for $500 each. They are offering 30% off their price.
American airlines is also offering a discount on their prices. They usually sell tickets for $500 but are offering ⅓ off the price. Who has the better deal? How much are you saving by choosing the less expensive airline?
United: $350
American: $333.33
American Airlines offers the better deal by $16.67
500
16) Ryan reads 64 words in 4 minutes. Which equation shows the relationship between the number of words, w, and the time in minutes, that he speaks.
a. W = 64m (b) w = 4m (c) w = 16m (d) w = 256m
C. w = 16m
500
The graph to the right shows a proportional relationship between the number of websites visited and the # of downloads. Write an equation to show this relationship
y = 1/3x
500
The function table shows the relationship between the cost and the number of slices of pizza purchased at a pizzeria. Write an equation to show the relationship between the cost and the number of slices purchased.
y = kx
c = ks
c = 2s
500
Do any of the graphs below show a proportional relationship? If so, circle all that apply.
First one
500
The laptop that you want costs $100, it is on sale for 25% off and you have a 10% off coupon. How much will you pay?
$67.50