Exploring Ratios and Proportional Relationships

Simplify the ratio of
35 : 14

• 5 : 2

• 2 : 5

• 3 : 1

• 35: 14

What is the ratio of red apples to green apples

• 7 apples to 3 green

• 4 red apples to 7 apples

• 4 red apples to 3 green apples

• 3 green apples to 4 red apples

Which is NOT equivalent to 3:5?

• 15:25

• 9:15

• 21:28

• 30:50

What is a Ratio?

• Is a comparison of two quantities 

• A rate with a denominator of one

• It is when the only factor the numerator and denominator share is a one 

• Two decimals that can be multiplied

An elevator moves at a constant rate of 18 feet in 3 seconds. A second elevator moves at a constant rate of 40 feet in 5 seconds.

The situation ​ ​ (a)   a proportional relationship because ​ (b)  

• does not represent

• the ratios are different

• represents

• the ratios are equivalent

Match the following.

• simplified rate whose denominator is a 1

• Percent

• a comparison of 2 quantities by division

• Ratio

• means per 100

• Denominator

• Represents whole or total of something.

• Unit Rate

• represents the "part of a whole"

• Numerator

Answer explanation

Two quantities are in a ​ (a)   if the two quantities vary and have a constant ratio between them.

• proportional relationship

• proportional

• unit rate

• nonproportional

• constant of proportionality

Write how to find the proportion of

2:8 :: 25:625

(Do not give space first right the means than the extremes.)

Mathematical Equivalence

ON

A comparison of two measurements with a denominator of 1

Answer: ​ (a)  

• proportion

• rate

• ratio

• scale factor

• unit rate

When two ratios are equal they are .

(a)  

• Proportional

• Ratio

• Rate

• Unit Rate