Constant Proportionality from Tables
Constant of Proportionality from Graphs
Constant of Proportionality from Words
Constant of Proportionality and Equations
COP requirements
100

Drew paints portraits.  Find the constant of proportionality if it is a proportional relationship 

Time (in hours) = x             Number of portraits = y

           1                                          5

           2                                          10

           3                                          15

           4                                          20


5 portraits per hour

100

Find the constant of proportionality with correct units

k =46 miles per hour

100

Morgan bought 24 batteries packed in 6 equal packs. What is the unit rate per pack?


Morgan compró 24 baterías empaquetadas en 6 paquetes iguales. ¿Cuál es la tarifa unitaria por paquete?

4 batteries per pack

100

Find the constant of proportionality: y = 7x

k = 7

100

What is k mean in y=kx?

constant of proportionality

200

The table shows the amount earned by Harry for selling ice cream.  Find k.


Cups Sold = x              3         5        7         9

Earnings ($)  = y         12        20      28       36


CoP = 4

200

What is K with proper units?

k = 1.2 miles per hour

200


Julie brought 5 pounds of cans to a recycling place and was paid $2. Find the constant of proportionality (cost per pound)

Julie llevó 5 libras de latas a un lugar de reciclaje y le pagaron $2. Encuentre la constante de proporcionalidad (costo por libra)

$0.40/pound

200

Find the constant of proportionality:

C = 2/3 m

k = 2/3

200

when you are looking at a graph the line is proportional if it passes through

the origin

300

Fred wrote notes during an exam.  Find the CoP (with correct units) if it is a proportional relationship.


Notes (pages)        8             9               10            11

Time (in hours)      18           19              20            21

It is not proportional, there is no CoP. 

300

Find the constant of proportionality with correct units

5 gallons per min

300

To make juice, Michael combines 4 liters of water and 12 scoops of juice mix. What is the CoP (scoops per liter)?

3 scoops per liter

300

Daisy made bread.  The equation B = 4f shows the number of breads basked based on the amount of flour used.  Where B is the number of bread loaves made and f is the cups of flour used.  Find the constant of proportionality.

Daisy hizo pan. La ecuación B = 4f muestra el número de panes horneados según la cantidad de harina utilizada. Donde B es el número de hogazas de pan hechas y f son las tazas de harina utilizadas. Encuentre la constante de proporcionalidad.

k = 4 loaves per cup

300

what is another word for constant of proportionality?

unit rate

400

A ferry transports bikes to an island.  Write k (which is the CoP). 


Number of bikes (x)              10             12             14            

Number of trips (y)              5                6               7              

k = 0.5

400

Find k with proper units.

k = 3 gallons per minute

400

Zachary's time machine needs 14 megawatts of electricity to travel back 7 years.  What is the unit rate (megawatts per year)?

La máquina del tiempo de Zachary necesita 14 megavatios de electricidad para viajar 7 años atrás. ¿Cuál es la tarifa unitaria (megavatios por año)?

 2 megawatts per year

400

The number of milk bottles sold can be determined by the equation P = 0.35n, where P is the number of bottles of milk and n is the number of boxes opened.  Find the constant of proportionality with correct units.

El número de botellas de leche vendidas se puede determinar mediante la ecuación P = 0,35n, donde P es el número de botellas de leche y n es el número de cajas abiertas. Encuentra la constante de proporcionalidad con las unidades correctas.

k = 0.35 bottles per box

400

what are the two qualifications to tell if a line on a  graph is proportional?

it passes through the origin and it is a straight line

500

Alice bought comics.  Find the k (CoP with correct units) if the table shows a proportional relationship.


Number of comics             2             4             6            

Price (dollars)                   6            12            18           


k = 3 dollars per comic

500

Find the constant of proportionality with correct units

60 miles per hour

500

An item that is 4 feet long is 48 inches long.   What is the unit rate per foot?

Un artículo que mide 4 pies de largo mide 48 pulgadas de largo. ¿Cuál es la tasa unitaria por pie?

 12 in per foot

500

In a laboratory, scientists performed chemical reactions.  The amount of product formed by a reaction can be determined by P = 0.25r, where P is the product and r is the amount of reactants used.  Find k with correct units.

En un laboratorio, los científicos realizaron reacciones químicas. La cantidad de producto formado por una reacción se puede determinar por P = 0.25r, donde P es el producto y r es la cantidad de reactivos utilizados. Encuentra k con las unidades correctas.

k = 0.25 product per reactant

500
what is the x and y value (x,y) for a point at the origin?

(0,0)