Proportional Tables
Proportional Graphs
Proportional Word Problems
Proportional Equations
Mixed
100

Is this table proportional?  If so, what is the Constant of Proportionality?

Yes, k= 10.

100

This graph shows the relationship between what two variables? What do the x values stand for and what do the y values stand for?

Hours (x) and miles walked (y)

100

I go to the story and buy meat for $8.99 a pound. Is this a proportional relationship? Why or why not? //

Voy a la tienda y compro carne a $8.99 la libra. ¿Es esta una relación proporcional? ¿Por qué sí o por qué no?

Yes it is proportional because  $8.99 per pound is a unit price. (Cost for 1 pound)

100

In the equation, y =4x, what is the constant of proportionality? // 

En la ecuación y = 4x, ¿cuál es la constante de proporcionalidad?

4 

100

Is this table proportional? 

Yes.
200


Is this table proportional? If so, what is the C.O.P? How do you know?

No, this relationship is NOT proportional. There is no constant rate of change between my x and y variables. 

200

Is this graph proportional? Why or why not?

No, it is NOT proportional. It does not pass through (0,0) and (0,0) would not be a part of this graph. It passes through (0,1). 

Another reason: There is not constant rate of change. My y/x value for one point is 1 and 3/4 for the other point showing there is not constant rate of change. 

200

Jodie rides her scooter 12 miles in 3 hours. Later she rides her scooter 20 miles in 5 hours. Are these distances and times proportional? Show work. //


Jodie recorre 12 millas en su scooter en 3 horas. Más tarde, recorre 20 millas en 5 horas. ¿Son proporcionales estas distancias y tiempos? Muestra el procedimiento

Yes, both have a unit rate of 4 miles per hour. 

200

What is the constant of proportionality of the equation y = 10x //

¿Cuál es la constante de proporcionalidad de la ecuación y = 10x?

10

200


2.5 or 5/2

300

Is this table proportional? If so, what is the constant of proportionality? 

Yes, k = 7.

300

Is this graph proportional? How do you know?

1. It is a straight line

2. (0,0) is a part of the graph 


300

Cassidy drove at a constant rate. It took Cassidy 2 hours to drive 100 miles. How far would she drive in 1 hour? How do you know? // 

Cassidy condujo a una velocidad constante. Tardó 2 horas en recorrer 100 millas. ¿Qué distancia recorrería en 1 hora? ¿Cómo lo sabes?

Cassidy is driving at a constant rate so I can use my proportionality equation. Cassidy would drive 50 miles in one hour. I know this because y (100) divided by x (2) equals 50.  

300

What is the constant of proportionality?

y = 1.5x

¿Cuál es la constante de proporcionalidad?

y = 1.5x

1.5

300

Is this table proportional?


Yes

400

Is this table proportional? If so, what is the constant of proportionality? How do you know?

Yes, it is proportional and k = 13 apples per tree.

400

Is this graph proportional? If so what is my C.O.P?

k = 1/2 or 0.5

400

13 candy bars weigh 26 ounces. What is the weight of 35 candy bars? // 

13 barras de caramelo pesan 26 onzas. ¿Cuál es el peso de 35 barras de caramelo?

35 candy bars weigh 70 ounces

400

What is the constant of proportionality?

¿Cuál es la constante de proporcionalidad?

y = 0.3x

0.3

400

How much does 1 gift bag cost?

¿Cuánto cuesta una bolsa de regalo?


$5

500

This table is proportional. Find k.

k = 0.6.

500

What is the constant of Proportionality?

2/3 laps per minute or 0.67 laps per minute

500

A car travels 120 miles in 3 hours (with a constant speed). How long will it take to travel 200 miles? // 

Un automóvil recorre 120 millas en 3 horas (a velocidad constante). ¿Cuánto tiempo tardará en recorrer 200 millas?

It will take 5 hours to travel 200 miles because my rate of change is 40 miles per hour.

500

What is the constant of proportionality?

¿Cuál es la constante de proporcionalidad?

y = x


1

500

Is this a proportional relationship? 


No