Unit Rates
Constant Rate of Change
Proportions
Constant of Proportionality
MORE Proportions!
100

Operation used to calculate the unit rate

What is division?

100

How we find C.R.O.C.

What is y/x?

100

The number of fractions required for a proportion.

What is 3?
100

 k =

What is y/x?

100

A recipe calls for 4 cups of flour for 16 servings. How many cups of flour will be needed for a serving size of 400?

What is 100 cups of flour?

200

The quantity for ____ unit.

What is one?

200

State all names for Constant Rate of Change. HINT: There are 5 total.

What is k, constant rate of change, coefficient, Constant of proportionality, and the unit rate?

200
The method used to solve proportions.

What is Cross multiply; butterfly method; wakanda forever?

200

x = 2; y = 1

Johnny says k = 2. Jackie says k = 1/2. State the correct k.

What is k = 1/2?

200

Joshua has a chicken farm in south Mississippi. There are 3 pounds of chicken feed for each chicken. How many pounds of chicken feed will be needed for 89 chickens?

SET UP AND SOLVE.

What is 267 pounds of chicken feed?

300

Dillard's have ties 6 for $45. Calculate how much each tie cost.

What is $7.5?

300

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

What is D?

300

There are 2 boys for every 3 girls. How many girls are there if there are 210 boys? 

SET UP THE PROPORTION.

What is boys/ girls = 2/3 = 210/x ?

300

Hannah read 45 books over the summer. The summer consisted of 3 months. What is the constant of proportionality for the number of books read, y, and the number of months, x?

What is 15?

300

Nice Choice

FREEBIE!

400

Ryan mows 55 lawns in 22 days. Calculate the number of lawns mowed per day.

What is 2.5 lawns?

400

x |  2  | 4  |   5   |  8  |

y | 11 | 22 | 27.5 | 44 |

Calculate k from the table.

What is k = 5.5?

400

There are 2 boys for every 3 girls. How many girls are there if there are 210 boys? 

SOLVE THE PROPORTION.

What is 315 girls? 

400

Donna babysits for a part-time job. She babysits 6 kids every 9 days. What is the constant of proportionality for the number of days, x, and the amount of kids, y?

What is 6/9 or 2/3?

400

Chris sleeps for 12 hours every 3.5 nights. How many hours of sleep will Chris sleep in one week?

What is 24 hours?

500

Sarah buys 5.6 gallons of paint for her room. The total cost is $73.92. Calculate the cost per gallon of paint.

What is $13.20?

500

If k = 3.3, fill in the table for Z.


x |  1   |   3  |   4   |   6   |  9  |

y | 3.3 | 9.9 | 13.2 | 19.8 | Z  |

What is 29.7?

500

10/16 = .5/x

What is 0.8?

500

Channin works 5.5 days a week for $827.75. What is the constant of proportionality for the amount of money earned, y, and the number of days worked, x?

What is 182.5?

500

Billy plays minecraft for 9.4 hours in 4.5 days. How many days will it take for Billy to play a total of 112.8 hours?

What is 54 days?