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Word Problems
Equations
100

Is there a proportional relationship between time (in hours) and portraits?  

If so, what is the constant of proportionality in hours per portrait.

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

           1                                          5

           2                                          10

           3                                          15

           4                                          20


5 hours per portrait.

100

What is the constant of proportionality in gallons per minute?

5 (gallons per minute)

100

Morgan bought 24 batteries packed in 6 equal packs. Joshua bought 28 batteries packed in 7 equal packs. 

What is the number of batteries per pack for the packs that Morgan and Joshua bought?

4 batteries per pack

100

What is the constant of proportionality: y = 7x

7

200

The table shows the amount of money earned by Harry for selling cups of ice cream. What is the constant of proportionality?


Cups Sold = x              3         5        7         9

Earnings ($)  = y         12        20      28       36


4

200

What is the constant of proportionality in gallons per minute?

3 (gallons per minute)

200

Michael worked 40 hours in a week and earned $860. How much money did Michael earn per hour?

$21.50 per hour

200

The equation y = 4x shows the number of loaves of breads baked based on the amount of flour used.

What is the constant of proportionality?

4

300

Fred wrote notes during an exam.

Is there a proportional relationship between the time (in hours) and the pages of notes?


Notes (pages) (x)         11             9               10            

Time (in hours) (y)       23            18              20            

Not proportional.

No constant of proportionality.

300

What is the constant of proportionality in miles per hour?

60 (miles per hour)

300

Last month, Julie brought 5 pounds of cans into the shop and was paid $2. 

What is the cost per pound?

$0.40 per pound

300

The number of milk bottles sold can be determined by the equation y = 0.35x, where y is the number of bottles of milk and x is the number of boxes opened.

What is the constant of proportionality?

0.35

400

A ferry transports bikes to an island.  What is the constant of proportionality for the number of trips (y) to the number of bikes (x)?


Number of bikes (x)              10             12             14            

Number of trips (y)              5                6               7              

0.5 or 5/10 or 1/2

400

What is the constant of proportionality in miles per hour? You may leave your answer as a fraction.

6/5 or 12/10 or 1.2 (or any equivalent value)

400

ShopRite sells a 6 oz bag of popcorn for $3.96.

Costco sells a 10 oz bag of popcorn for $6.50.

What is the cost per ounce at each store?

ShopRite: $0.66 per oz.

Costco: $0.65 per oz.

400

In a laboratory, scientists performed chemical reactions.  The amount of product formed by a reaction can be determined by y = 0.25x, where x is the product and y is the amount of reactants used.

What is the constant of proportionality?

0.25

500

Alice bought comics. 

Is there a proportional relationship between the price (y) and comics (x)?

If so, what is the constant of proportionality?


Number of comics (x)             2             4             6            

Price (dollars) (y)                   6            12            16           


Not proportional.

No constant of proportionality.

500

What is the constant of proportionality in miles per hour? 

46 (miles per hour)

500

5 pounds of beef cost $29.

At this rate, how much would would 8 pounds of beef cost?

$46.40

500

What is the constant of proportionality:  y = 2/3 x

2/3