Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates
Mix
100
Jude sends 45 E-mails in 15 minutes.
How many E-mails did he send per minute?
He sent 3 E-mails per minute.
100
Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.
y = 12x
100
Is the rate of change for this table constant or variable? Explain.
The relationship is constant because if we divide each cost per number of tickets, we see the constant of proportionality is $1.50 per ticket.
100
Every 2.5 hours, a machine produces
2250 basketballs. What is the unit rate of this proportional relationship?
900 basketballs per hour
100
A map has a scale of 1in:10mi. Find the distance on a map between two cities that are 147 miles apart.
147 * (1/10) = 14.7 in
200
Lenasia earned $640 in a 40-hour work week.
What is Lenasia's hourly rate of pay?
Lenasia earns $16 per hour.
200
Gianna reads 27 pages in 9 minutes. At What rate does Gianna read?
Write an equation for this relationship.
Gianna reads 3 pages per minute.
y = 3x
200
Is the rate of change for this table constant or variable? Explain.
The rate of change is variable because when we divide the sales of ice cream by each Temperature, we do not get a constant value.
200
Cheri paid $6.50 for the bunch of grapes with the weight of 2.5 lbs. What was the price per pound?
$2.60 per pound
200
A recipe calls for 2 cups of sugar for 1/4 cup of butter. What is the unit rate of sugar to butter
8 cups sugar to 1 cup butter
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
The constant of proportionality is k = 600 RPM.
300
Maxine works at law office. the equation y = 135x represents her earnings.Determine how much money she makes if she works 40 hours.
Maxine earns $5,400 in 40 hours.
300
A graph represents a proportional relationship if:
1.
2.
1. It is a straight line
2. It passes through the origin
300
1/4 kilometer in 1/3 hour
3/4 km per hour
300
A scale drawing of an elephant shows the animal as 6 inches high and 10.8 inches long. The scale used for the drawing was 3in:5ft. What are the height and length of the actual elephant.
Height 10 ft
Length 18 ft
400
Jeff earned $400 working a 40-hour work week.
Find Jeff's hourly wage and use it to predict how much he will make if he works for 47 hours.
Jeff makes $10 per hour and would make $470 IN 47 hours.
400
The equation y = 55x represents the rate of the Long Island highway speed limit, in miles per hour. Let x represent the number of hours driven and y represent the total miles driven.
How long was Francis driving if he drove 247. 5 miles at the speed limit.
Francis drove for 4.5 hours.
400
What is the slope of this graph?
m = 1/6
400
7/8 square foot in 1/4 hour
3.5 ft2 per hour
400
Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile.
Jana runs faster. 6 2/3 min/mi
500
Janine sells 16 apples for $8.00. What is the unit price for each apple?
How much would she earn if she sold 64 apples?
The unit price is $0.50 per apple.
Janine would earn $24 for selling 64 apples.
500
If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute and Jacen ate hamburgers at a rate of 4.7 hamburgers per minute, write an equation that could represent how many more hamburgers Jacen can eat more than Jackson.
y = 1.2x
500
What is the slope of this line?
The slope is undefined.
500
What is the rate of reading?
Time 3 5 6
Number of Pages 171 285 342
57 pages per hour
500
Does this relationship show a proportional relationship?
x 2 4 6 8 10
y 4 6 8 10 12
No. 4/2 is not equal to 6/4