How do you find the unit rate of 405 rotations in 5 minutes?

Answer 1

The unit rate is 81 revolution per minute

#color(blue)("Initial thoughts")#

Unit rate is where there is only 1 of the reference units of measurement. In this case the reference units are minutes.

The word 'per' means for 'one of'

So as a ratio we have: rotations per minute is: #->("rotation count")/("1 minute")# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Answering the question")#

Initial condition:# ->(" 405 rotations")/("5 minutes")#

As we need 1 minute we need to change the 5 into 1 so we divide 5 by 5.

To maintain proportionality (for multiply and divide) what we do to the bottom we do to the top.

Divide top and bottom by 5

#(" 405 rotations")/("5 minutes") -=(405-:5)/(5-:5)=81/1#

The #-=# means 'equivalent to'

So for 1 minute we have 81 revolutions.

The unit rate is 81 revolution per minute

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Answer 2

Luna Angel

To find the unit rate of 405 rotations in 5 minutes, divide the total number of rotations by the total time in minutes.

Unit Rate = Total Rotations / Total Time

Unit Rate = 405 rotations / 5 minutes

Unit Rate = 81 rotations per minute.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.