Constant of Proportionality In Words
Constant of Proportionality Equations
Tables and Graphs
Unit Rates and the Constant of Proportionality
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.
Escribe una ecuación!
y = 12x
100
Is the table proportional? 
Yes. 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?
Cada 2,5 horas, una máquina produce
2250 pelotas de baloncesto. ¿Cuál es la tasa unitaria de esta relación proporcional?
900 basketballs per hour
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.
Escribe una ecuación!
Gianna reads 3 pages per minute.
y = 3x
200
Is the table proportional?
No.When we divide the sales of ice cream by each Temperature, we do not get a constant value.
200
What is the unit rate of words per minute if Trevor types 144 words in 3 minutes?
¿Cuál es la tasa unitaria de palabras por minuto si Trevor escribe 144 palabras en 3 minutos?
48 words per minute.
300
A helicopter propeller spins 2400 revolutions in 4 minutes. What is the constant of proportionality (k), in revolutions per minute?
La hélice de un helicóptero gira 2400 revoluciones en 4 minutos. ¿Cuál es la constante de proporcionalidad (k), en revoluciones por minuto?
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 trabaja en la oficina de abogados. la ecuación y = 135x representa sus ganancias. Determina cuánto dinero gana si trabaja 40 horas.
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 point (0,0)
300
What is a the constant of proportionality, k, of a line that passes through (0,0) and goes through point (3, 9)?
¿Cuál es la constante de proporcionalidad, k, de una línea que pasa por (0,0) y pasa por el punto (3, 9)?
k = 3
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 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.
La ecuación y = 55x representa la tasa de límite de velocidad, en millas por hora. Sea x el número de horas conducidas e y el total de millas conducidas.
¿Cuánto tiempo estuvo conduciendo Francis si condujo 247,5 millas al límite de velocidad?
Francis drove for 4.5 hours.
400
What is the constant of proportionality, K, of this graph?
K = 1/6
400
Find the constant of proportionality of a line that passes through the points (4, 2) and (12, 6).
Encuentre la constante de proporcionalidad de una línea que pasa por los puntos (4, 2) y (12, 6).
k = 1/2
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 $32 for selling 64 apples.
500
If Jackson ate hamburgers at a rate of 3.5 hamburgers per minute and write an equation that could represent how many hamburgers Jackson ate per hour.
Escribe una ecuación!
y = 3.5x
500
What is the constant of proportionality, k, of a line with points (2,12) and (5, 30)?
¿Cuál es la constante de proporcionalidad, k, de una recta con los puntos (2,12) y (5, 30)?
k=6
500
Which line has a constant of proportionality, k, of 2?
Line m