Question

Caleb types 100 words in 5 minutes. What is the unit rate?

Answer 1

Unit rate= `20` words per minute/ `0.3` words per second

Explanation:

We could work out the unit rate in 2 ways:

Per Minute or Per second.

First we will start of with per minute:

Rate=Word/minute

`=100/5=20`

`therefore` He writes 20 words a minute

Per Second:

Find out how many seconds are in a minute (60) and multiply by the total minutes, getting the amount of seconds.

`60 xx 5=300` seconds

Rate= `100/300 = 1/3 = 0.bar3`

`therefore` He writes `1/3` of word a second, so a word every 3 seconds.

Answer 2

Alternate way without using rate equations...

Explanation:

Since Caleb trypes 100 words in 5 mins we can say that:

`100 " words" = 5 " minutes"`

Hence we can try and find `1` minute, and to do this we can divide both sides of the equation by 5, remeber what we do to one side, we do to the other:

`100/5 " words " = 5/5 " minutes "`

`=> 20 " words" = 1 " minutes"`

`color(red)(underline( "Hence we can say he types 20 words in 1 minute on average "`

Going further we know:

`1 " minute " = 60 " seconds"`

So we can say:

`20 " words " = 60 " seconds"`

To get 60 seconds, we divide each side by 60:

`20/60 " words " = 60/60 " seconds"`

`1/3 " of a word " = 1 " second"`

`color(red)(underline("Hence we can say he types about 1/3 of a word every second on average "`

Answer 3

`20"wpm"`

Explanation:

We have;

`100` words

`5` minutes

`"Unit Rate" = "Words"/"Units"`

`"Unit Rate" = 100/5`

`"Unit Rate" = 20 "WordsperUnit"`

`"Unit Rate" = 20"wpm"`