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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)

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

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

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.

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 + 4

THERE IS NO KONSTANT SURPRISE!

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