Proportions

Vocab

100

What is a ratio where the denominator is 1. 

Unit Rate

200

What is another term for Unit Rate and Constant of Proportionality?

Slope

300

What is a comparison of two quantities using division

Ratio

400

What is a statement where two proportions are meant to be equal?

Proportion

500

What is the process of multiplying the first numerator and the second denominator, and multiplying the second numerator with the first denominator.

Cross Multiplication

Rates, Ratios, Unit Rates

100

Simplify 18:48

3:8

200

How do you find the Unit Rate/

Divide numerator by the denominator

300

Alex can ride his bike 112 miles the month of February. If he rides the same number of miles per week, how many miles does he ride per week? Write the answer as a unit rate with correct units. 

28 miles per week

400

Four stores are selling the same brand of juice. Which store is the best buy?

• Store A: 8 bottles for $4.00

• Store B: 12 bottles for $7.20

• Store C: 6 bottles for $3.30

• Store D: 10 bottles for $5.50

(Store A: $4.00 ÷ 8 = $0.50 per bottle — the lowest unit rate)

500

A baker uses 3:4 of a pound of flour to make 1:2 of a batch of cookies.

What is the unit rate, in pounds of flour per 1 batch of cookies?

1 and a half pounds of flour per batch of cookies

Proportions

100

Are the following ratios proportional?

18:24           and              45:60

Yes

18*60 = 24*45

1080=1080

200

Two students are comparing how much money they earn for babysitting.

• Student A earns $36 for 4 hours.

• Student B earns $64 for 8 hours.

Does this situation represent a proportional relationship?

No

300

A car travels 180 miles in 3 hours at a constant speed.

How many miles will the car travel in 5 hours?

300 miles

400

Solve the following proportion: 

3x/4 = 18/6

x=4

500

A recipe uses 4 cups of flour for every 6 cups of sugar.

If the recipe uses 10 cups of sugar, how many cups of flour are needed?

6⅔ cups of flour

Slope

100

Slope Measures what?  (You need two answers)

Steepness and direct of a line?

200

Name two formulas you can use for Slope?

Rise/Run

Change in y/Change in x

y₂-y₁/x₂-x₁

300

Look at the Graph posted on the board. What is the slope?

4/3

400

Look at the Table on the board, what is the slope?

12

500

Given the following points, what is the slope?

(3,9)    (1,15)

Slope: -3

Direct Variation and Constant of proportionality

100

What is the direct variation equation?  

y=kx

200

What two things does a graph need in order to show direct variation

straight line, passes the origin?

300

Does the following graph show direct variation, if so, find K.

k = 2/3

400

Does the following table show direct variation, if so, find K. 

k=0.7

500

Given the graph, create a direct variation equation. 

y=0.75x

or

y=(3/4)x