Constant of Proportionality In Words
Constant of Proportionality Equations
Constant of Proportionality MISC.!
Maps and Scale Drawings and Perimeter
Maps and Scale Drawings with Area and Perimeter
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
What is the constant of proportionality (unit rate)?
Stacey hikes 12 miles in 3 hours and 20 miles in 5 hours.
4 miles per hour
100
A map has a scale of 1 cm : 3 miles. On the map, the distance between two towns is 7 cm. What is the actual distance between the two towns? Include units for your answer.
21 miles
100
A football field has a map length of 3 inches, and width of 1.3 inches. If the map scale is 1 in = 120 ft, what is the actual length in feet?
360 feet
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?
Gianna reads 3 pages per minute.
200
What is the constant of proportionality (unit rate)?
y = 3/4x
3/4
200
The drawing of a newly constructed house has the scale of 1 cm = 6 ft. What is the actual length of a bedroom listed as 2 cm.
12 feet
200
A football field has a map length of 3 inches, and width of 1.3 inches. If the map scale is 1 in = 120 ft, what is the actual width in feet?
156 feet
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
Gianna reads 27 pages in 9 minutes. Using the rate write an equation for this relationship. (y = kx)
y = 3x
300
What is the constant pf proportionality?
75 miles per minute
300
A map has a scale of 1 cm : 4 km. The distance between two cities on the map is 17 cm. What is the actual distance between the cities?
68 km
300
A football field has a map length of 3 inches, and width of 1.3 inches. If the map scale is 1 in = 120 ft, what is the actual perimeter of the football field in feet?
Perimeter = 1,032 feet
Work: 2(360) + 2 (156)
or
360+360+156+156
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
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.
400
What is the constant on proportionality of the given graph?
5 feet per second
400
The length of a side of an equilateral hexagon (six sides), x, and perimeter, y, can be represented in an xy-plane by a straight line. Which of the points (x,y) would lie on the same line?
A) (1,7)
B) (2,8)
C) (3,18)
D) (4,10)
C (3, 18)
400
A football field has a map length of 3 inches, and width of 1.3 inches. If the map scale is 1 in = 120 ft, what is the actual area of the football field in square feet?
Area = 56,160 ft2 (or square feet)
Work: A = l x w = (360) (156)
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
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.
If Francis was driving for 4.5 hours at the speed limit, how far did he drive?
Francis drove 247.5 miles
500
Using the constant of proportionality, write an equation to represent the proportional graph.
y = 2x
500
The length of a side of an equilateral octogon (8 sides), x, and perimeter, y, can be represented in an xy-plane by a straight line. Name three points (x,y) that would lie on the same line.
*Answers can vary*
(0,0)
(1,8)
(2,16)
(3, 24)
(4, 32)
(5, 40)
500
In a drawing of a rectangular room, the length is 7 inches and the width is 4 inches. It has a scale of 1 in = 8 ft. What is the area, in square feet, of the actual room.
Area = 1,792 ft2 (or square feet)
Work: A = l x w = (56) (32)