Unit Rates
Constants and Proportional Relationships
Math
More Math
Vocab
100
A machine paints 340 toy boats in 45 minutes. Write the expression that equals the rate per hour?
C
340/(3/4)
100
Draw a line through the points. How many labels are printed in 10 hours?
A 24
B 35
C 40
B 35
100
An object travels 4/5 mile in one-half hour. What is its speed in miles per hour?
1.6 miles per hour
100
Kori spent $46.20 on 12 gallons of gasoline. What was the price per gallon?
A $8. 35 B $3.85
C $2.59 D $0.26
B $3.85
100
What is a proportion?
An equation that states two ratios are equivalent
2/4 = 1/2
200
Which speed is the fastest?
A 18 feet in 20 minutes
B 90 feet in 2.5 hours
C 20 yards in 1.5 hours
D
D. 3 2/3 yards in 15 minutes
A 18 feet in 20 minutes
200
Which term best describes the relationship between time and number
of labels printed?
proportional
200
A bicyclist goes 43.54 miles in 3.5 hours. What is her speed?
12.44 miles per hour
200
Write two ordered pairs to show that the equation y = 15x represents the data.
(1, 15), (2, 30) (3, 45) (4, 60) (6, 90)
200
What is a unit rate?
A rate in which the second quantity in the comparison in one unit
Example: 10 cm per minute
300
If 4.5 pounds of cherries cost $10, what is the unit price?
A $0.22 per pound
B $0.45 per pound
C $2.22 per pound
B $0.45 per pound
300
A student studies the same amount of time each day for a test. In 4 days, she studied 60 minutes. Which equation shows this relationship? Let x = the number of days.
A y = 4x
B y = 15x
C y = 60x
B y = 15x
300
How much money is saved in 5 weeks?
$75
300
Some hikers had an average speed of
2 miles per hour. Draw a graph to show how the distance is related to the time. Plot at least 4 points and draw a line through the points.
Sample graph shown. Location of points will vary. All points satisfy the equation
y = 2x.
300
What is a rate of change?
A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
Example: The cost of mailing a letter increased from 22 cents in 1985 to 25 cents in 1988. During this period, the rate of change was:
(change in cost)/(change in year) =
(25-22)/(1988-1985) = 3/3
400
Jeff can paint 28 square feet every 30 minutes. Angela can paint 50 square feet every hour. Who can paint faster, and by how many square feet per hour?
A Angela; 6 square feet per hour
B Jeff; 6 square feet per hour
C Neither. They paint at the same rate.
B Jeff; 6 square feet per hour
400
Which table shows a constant rate of change?
400
If a person walks 2.4 miles in 1.5 hours, how far can he walk in 3 hours?
4.8 mi
400
Each value of x is multiplied by 10 to get the value of y.
400
What is a complex fraction?
A fraction that contains one or more fractions in the numerator, the denominator or both
500
Complete the steps to simplify the complex fraction.
10/3 ; 1 2/3 miles per hour
500
What is the constant of proportionality for the relationship on the graph?
A 3.5 C 8
B 7 D 28
A 3.5
500
Complete the table for an object that goes 20 miles in hour.
40; 60
500
500
What is a proportional relationship?
A relationship between two quantities in which the ratio of one quantity to the other quantity is constant