unit rates
tables
equations
word problems
Random
100

10 inches of rain in 5 hours

2 inches of rain/hour

100


Proportional 

k=12

100

there are 3 cups that hold 9 oz of juice.

write an equation for how many oz per cup

y=3x

100

in 25 minutes Lee can run 10 laps around the track. determine the number of laps he can run per minute.

a. determine the constant of proportionality

b. write an equation.

k=0.4 laps/ minute

y=0.4x

x=minutes

y=laps

100


proportional

k=5

200

Arika ran 1/3 of a mile in 1/4 hour. What is her miles per hour?

1 1/3 miles per hour

200


proportional 

k=2

200

this equation represents the number of miles driven to the number of gallons of gas.

y=28x

x=gallons

y=miles driven

how far could I drive if I has 22 gallons of gas

I could drive 616 miles

200

Grandmas special cookie recipe which makes 4 dozens of cookies calls for 3 cups of flour. Using this information create a chart comparing the amount of flour to the amount of cookies. Is this proportional?

flour        3    6   9   12

cookies    4    8   12   16

Proportional

200

Is this table proportional? Justify your reasoning.


nonproportional

300

Aiden walked 1/8 of a mile in 1/16 of an hour. What is his unit rate for miles per hour?

2 miles per hour

300

Is this table proportional? Justify your reasoning.


non-proportional

300

this equation represents the number of miles driven to the number of gallons of gas.

y=28x

x=gallons

y=miles driven

if I take a trip of 600 miles, how many gallons of gas would I need to make the trip?

I would need 21 3/7 or 21.43 gallons of gas for a 600 mile trip

300

75 basketballs cost $1,143.75. Find the cost of 26 basketballs.

y=15.25x

y=396.50

300

Is this table proportional? Justify your reasoning.


nonproportional

400

Cathy used 2 3/4 cup of sugar to make 5 batches of cookies. How much sugar would she need for 12 batches of cookies?

6 3/5 sugar

400

is the table proportional? Justify your reasoning!


proportional 

k=1/2

400

suppose the cost to rent a car is $37.50 for 5 hours

write the equation for cost per hour!

Label each part of your equation

y = 7.5x

400

Justin runs 1/3 of a mile in 10 minutes. How long will it take Justin to run a mile?

30 minutes

400

Create 3 equivalent ratios to 1/2 cup of sugar: 5/6 pounds of flour.

1 s: 1 2/3 p

500

Nicole made 9 batches of cookies and used 4 1/4 cup of butter. How many batches of cookies can she make with 25 1/2 cups of butter.

54 batches of cookies.

500

Is this table proportional? Justify your reasoning.


non-proportional

500

Mark made $5 from working with his dad. If he makes an additional $8.50 per hour. Write an equation.

y = 8.50x + 5

500

A recipe for cupcakes uses a ratio of mix to milk 5:2 cups. Create 3 equivalent ratios.

mix   5   10   15  20   25

milk   2   4    6    8    10

500

what is the constant of proportionality

what does the point (15,18) represent in this problem? 

k=1.2

15 hours hike 18 miles