Unit Rates
Solve
Proportions
Proportions
Tables
Equations
Graphs
100
Lucas bought 6 red peppers for $5.40. Find the unit rate. Then use the unit rate to write an equation relating the cost in dollars c to the number of red peppers p.
$0.90
c=0.90(p) or y=0.90(x)
100
Last month, Ronald sold 52 packages of home-made brownies, earning a total profit of $195.00. He plans to make 125 brownie packages for a bake sale. If he sells all 125 brownie packages, how much profit can Ronald expect to earn?
$468.75
100
Emely is using a recipe to make a batch of lemonade. The ingredients are listed in quarts (qt) and she needs to convert them to liters (L). Use 1 qt ≈ 0.946 L. Complete the table to determine the equivalent amounts. Round to the nearest tenth as needed.
6qt 5.7
8qt 7.6
14qt 13.2
100
What is the equation we use to solve proportions
y=kx
100
What are that 2 things that every proportional graph needs to have?
1. Origin point (0,0)
2. Straight Line
200
12 donuts in 3 boxes = donuts per box
4 donuts per box
200
Last week, Lisa sold 20 hand-engraved watch bands, earning a total profit of $105.00. She plans to make 50 engraved watch bands to sell at the community art fair. If she sells all 50 watch bands, how much profit can Lisa expect to earn?
$262.50
200
Complete the table
Miles 6 24 72
Min 5 20 x
x=60
Unit rate is 1.2
200
The Gualandri family was taking a road trip. They traveled 295 miles in 5 hours. Write an equation relating their miles traveled, y, and the number of hours, x.
295=k(5)
200
The unit rate is 3
300
Jacob drives 100 miles in 4 hours, what is the unit rate?
25 miles per hour
300
Macy is designing her garden. For every 4 red roses, she plans to plant 6 blue delphiniums. Using only these two types of flowers, she plans to plant 16 roses in her garden. How many delphiniums will Macy use?
24 delphiniums
300
Jayden and his family are planning a vacation that involves surf lessons. Surf lessons charge $15.95 an hour. Complete the table to determine the total cost for 1, 3, 5, and 10 hours.
1 $15.95
3 $47.85
5 $79.75
10 $159.50
300
If it takes 20 minutes for 100 people to get through the line, how many minutes will it take for 125 people to get through the line? Use y=kx
It will take 25 minutes
300
Which of the following ways can be used to determine whether a linear relationship is proportional? Select all that apply.
A) The equation is in y = kx form.
B) The equation is in y = mx + b form.
C) In a table, the ratios are not equivalent.
D) In a graph, the line passes through the origin.
E) The graph of the relationship is a straight line.
A, D, and E
400
There are 240 students in 8 classes, how many students are in each class?
30 students
400
A painter can paint 120 square feet per hour. He charges $0.25 per square foot. Today he paints for 5.5 hours. How much will he charge?
$165
400
Complete the table
Books x 96 144
Boxes 4 6 y
X=84
y=9
The unit rate is 16
400
Given that y is proportional to x, with a constant of proportionality k=1/3, find y when x=12
y=4
400
The unit rate is 25
500
Honor listened to 9 songs in 36 minutes, how long is each song?
4 minutes
500
Given a square with side length of 4.5 inches, what is the area in square centimeters, rounded to the nearest tenth? Use 1 inch ≈ 2.54 centimeters. Explain or show how you solved the problem.
51.4
I found the area in inches (4.5 x 4.5), and then converted it to square centimeters by multiplying by 2.54.
500
Complete the table
Tickets 9 4 X
Price Y $34 $102
X= $76.50
Y= 12
The Unit Rate is $8.50
500
If Vicente spends $34.25 on 5 books, at the same rate, how much would 12 books cost him? Round to the nearest cent.
$82.20
500
Which graph is proportional?
C