Graphs
Tables
Equations
Unit Rates
100

From the following 2 points on a graph what is the constant of proportionality? (1, 3) and (2,6)

3

100

Amber work at an ice cream shop. Her wages and hours are shown below in the chart. What is the constant of proportionality?

Hours (x)   Wages (y)

2                  16

4                   32

6                  48


8

100

k = _____

y/x

100

It costs $29.75 to buy 8.5 pounds of cherries.  What is the unit price per pound?  

$3.50

200

What is the constant of proportionality for the graph with the following points? (4,2) (6,3) (8, 4)

1/2

200

What is the constant of proportionality shown in the table?

(x)               (y)

4                  2

8                  4

6                  3

0.5 or 1/2

200

What is the constant of proportionality for the equation y = 0.5x

0.5

200

It costs $14.95 to buy a 5 pound bag of coffee.  It costs $23.12 to buy a 8 pound bag of coffee?  Which is the better buy?

8 pound bag of coffee

300

What is the following point on the graph called? (0,0)

Origin

300

What is the constant of proportionality shown in the table?

(x)               (y)

5                  4

6                  4.8

8                 6.4

0.8 or 4/5

300

Rachel walks dogs on the weekends. If the equation     y = 9x represents the amount of money, y,  she earns from walking x number of dogs.  How much money does she make after walking 5 dogs?


$45

300

Amy rides her bike 4 miles in 3/4 hours.  How many miles can she ride in 1 hour?  

5 1/4 miles

400

What are the two characteristics of a line on a graph that show the line is proportional?

1)Go through the origin

2) Be a straight line

400


Find the constant of proportionality

20

400

Write an equation to represent this situation if the cost is proportional to the number of pounds of ham.


y = 4x

400

Amy can paint 1/2 a room is 1/4 of an hour.  How much can she paint in 1 hour?  

2 rooms

500

What is the constant of proportionality?

3

500

Jean has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the amount of money in her account proportional to the number of weeks? 


No

500

The total cost of cherries, y, is proportional to the number of pounds of cherries,x. The equation that represents this scenario is. y = 3x

If the total cost of cherries is $24, how many pounds of cherries did they buy?

8 pounds

500

John can run 3/4 of a mile in 1/3 of an hour.  How far can he run in 1 hour?  

2 1/4 miles

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