Unit Rates
Comparing Rates
Proportional Relationships
Constant of Proportionality
Proportions
100
You spend $40 on 5 pounds of concrete.
What is the unit rate in dollars per pound?
$8 per pound
100
Target charges $10 for 12 cupcakes. Acme charges $7 for 10 cupcakes. Which store offers the better deal?
Acme
100
Proportional Relationships means two rates are ...
Equal
Same
Equivalent
100
Does this table represent a proportional relationship? If so, find the constant of proportionality.
Yes, k=1/3 or 0.333
100
Solve for y
4 8
--- ----
10 y
y = 20
200
A car can travel 150 miles on 4.2 gallons of gas. What is the average gas mileage (miles per gallon)?
35.7 miles per gallon
200
Brenda uses 3/4 cups of sugar with 4 cups of cream with to make ice cream. John uses 2/3 cups of sugar with 3 cups of cream. Who has sweeter ice cream?
John has sweeter ice cream.
200
Are these dogs' measurements proportional to each other?
Proportional
200
Is this graph proportional? If so, find the constant of proportionality.
Yes, m = 5
200
Find the value of x.
x 4
--- = ---
8 5
x= 6.4
300
9 tickets cost $279. What is the cost per ticket?
$31 per ticket
300
Rolanda and Mali ride bikes at a steady pace. Rolanda rides 8 miles in 32 minutes. Mali rides 2 miles in 10 minutes.
Who rides slower and what is their biking rate?
Mali rides slower.
5 minutes per mile or 0.2 miles per minute
300
Which relationship is an example of a proportional relationship?
A) A rental company charges $80 per day and a one-time fee of $24
B) A taxi ride costs $2 for the first mile then $4 for each additional mile
C) A gym membership costs $30 per month and a registration fee of $75
D) A seasonal job pays $210 every week for 4 weeks
D
300
What is the slope and y-intercept of the equation
y = -1/4x + 6
Slope = -1/4
Y-intercept = 6
300
3 pounds of hamburger costs $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
She will pay $20.
400
William fills 2/5 of a water bottle in 10 seconds. How much time will it take per bottle?
25 seconds per bottle
400
Crumbl cookies offers several pricing options. Put the boxes in order from best deal to worst deal.
Best: Party Box ($3.26/cookie)
4-Pack Box ($3.74/cookie)
6-Pack Box ($3.83/cookie)
Worst: Single Box ($4.60/cookie)
400
A saltwater aquarium needs 35 parts salt to 1000 parts water. Trey used 7 cups of salt in 200 cups of water. Is he using the correct ratio? (Is this proportional?)
Yes, proportional
400
Chris earns extra money as a life guard. He earns $37 for 4 hours and $64.75 for 7 hours. What is the constant of proportionality?
k = 9.25
400
55% of middle schoolers say they prefer cheese pizza over pepperoni. TMS has about 600 students. About how many would prefer cheese?
330 students prefer cheese
500
Michael used 5/6 grams of honey to make 7/12 pans of a pudding recipe. How many grams of honey are needed to make a full pan of pudding?
10/7 or 1 3/7 grams of honey per pan
500
Carlo reads 2 books every week. Joanna reads 7 books each month. Raymond reads 95 books each year. Who reads the most books per week?
(Hint: There are 52 weeks in a year)
Carlo reads the most books per week.
500
Scientist Bill found a tectonic plate in the Earth's crust moves at a rate of 4cm per year. Scientists Suzie tracks this for 10 years and finds it moves 30cm. Is the plate moving at a constant rate?
No, plate is not moving at a constant rate.
500
Use the constant of proportionality to write the equation for this table.
y=13x
500
Conrads tire shop had to fill 12/5 tires with air. It took a small air compressor 2 1/2 minutes to fill them up. How long would it take to fill 9 tires?
9 3/8 or 9.375 minutes to fill 9 tires