Dining room Table
Graphs are fun
C of P
eQuAtIoN wRitIng
Use what you know
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?

4 batteries per pack

100

Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.

y = 12x

100

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.

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


k = 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

$0.40/pound

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

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.

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

Write an equation to represent this graph

y= 5x

300

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

3 scoops per liter

300

Jude sends 45 E-mails in 15 minutes.

How many E-mails did he send per minute? Write an equation to represent this situation. 

He sent 3 E-mails per minute. 

y = 3x

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.

400

A ferry transports bikes to an island.  What is K? Write an equation to represent this situation.


Number of bikes (x)              10             12             14            

Number of trips (y)              5                6               7              

k = 0.5

y = .5x

400

write an equation to represent this graph

y=3x

400

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

 2 megawatts per year

400

Lenasia earned $640 in a 40-hour work week.

What is Lenasia's hourly rate of pay? Write an equation to represent this situation

Lenasia earns $16 per hour. 

y = 16x

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.

500

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


Number of comics             2             4             6            

Price (dollars)                   6            12            18           


k = 3 dollars per comic

y = 3x

500

How far would the family travel in 10 hours? 

600 miles in 10 hours

500

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

 12 in per foot

500

A helicopter propeller spins 2400 revolutions in 4 minutes. Write an equation to represent this proportional relationship. 

y = 600x

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. 

How many more hamburgers did Jacen eat then Jackson eat in 10 minutes?

12 burgers more