102k views
4 votes
Samuel can do 120 jumping jacks in two minutes.

What is the ratio?
What is the unit rate?
What is the rate?

2 Answers

4 votes
The rate is 60 jumping jacks per minute
User Lev Landau
by
8.8k points
4 votes

Answers:

What is the ratio? 120:2

What is the unit rate? 60:1

What is the rate? 60 jumping jacks per minute

===================================================

Further Explanation:

To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.

--------

Once we have 120:2, we divide both parts by 2 to get 60:1

120/2 = 60

2/2 = 1

The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"

-------

Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.

User Doogle
by
8.9k points

Related questions

2 answers
24 votes
112k views