Unit Rates
Proportionality
Proportions
Proportions
100
Express each rate as a unit rate
400 meters in 5 minutes
80 meters per minute
100
Determine if the table is proportional. Explain why or why not. If proportional, state the constant of proportionality.
Prop - all rates are constant
k= $8/book
100
Solve the proportion
15/x= 5/4
x=12
100
Solve the proportion
16.5/21 = 5.5/x
x=7
200
Express the rate as a unit rate
4 concert tickets for $175
$43.75/ticket
200
Is the graph proportional? Explain your answer.
Nonproportional because it doesn't pass through the origin.
200
Set up a proportion and solve. The length of a highway is 900 miles. If 0.5 inch on a map represents 50 miles, what is the length of the highway on the map? Set up a proportion and solve.
9 inches
200
Set up a proportion and solve for the missing length.
7.2 inches
300
Which is the better deal? Explain.
An eight-pack of juice boxes for $4.79
12-pack for $6.59
The 12-pack because it is cheaper per juice box
300
Dakota is selling his trading cards. He will sell the first 5 cards for $3 and each card after that for $1.
nonproportional - rates are not constant.
300
Of the 50 students in the cafeteria, 7 have red hair. If there are 750 studnets in the school, predict the number of students who have red hair.
105 students
300
Set up a proportion and solve. A bell tower casts a 27.6 foot shadow at the same time a nearby person casts a 1.2 foot shadow. If the tourist is 6 feet tall, how tall is the tower?
138 feet
400
Noreen can walk 11/10 miles in 1/3 hour. Find her average speed.
3 3/10 mph
400
The number of slices of pizza is proportional to the number of students eating.
a). Determine the constant of proportionality
b). Explain the points (1,2) and (4,8) represent.
a). k=2 slices/student
b). (1,2) - 1 student eats 2 slices of pizza
(4,8) - 4 students eat 8 slices of pizza
400
A boat traveled 150 feet in 9.7 seconds. At this rate, how far will it travel in 60 seconds?
Set a proportion and solve.
927.8 feet
400
The two figures are similar. Find the missing side length.
15 km
500
A garden hose was left on in a yard and spilled 7/8 gallon every 2/3 minute. Find the average number of gallons spilled per minute.
1 5/16 gal/min
500
A customer at the ring toss booth gets 8 rings for $2. Find the constant of proportionality. Write an equation relating the cost, y, to the number of rings, x. Then, find the cost for 11 rings.
k=.25
y=.25x
y=$2.75
500
The ratio of kids to adults at a school festival is 11:7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
315 adults
500
Set up a proportion and solve.
Quadrilateral ABCD is similar to quadrilateral WXYZ. What is the value of WZ if AD is 18 feet, CD is 27 feet, and YZ is 10.8 feet.
7.2 feet