If it takes 5 minutes to read 300 words how many words per minute does this represent? Also how many minutes does it take to read 1 word?

Answer 1

Unit rate is #0.016bar6# minutes per word

Unit rate is 60 words per minute

Note that the question states particular units. It is good practise to use the same units of measurements in your answer.

The words: "each rate" taken to mean 2 conditions

Condition 1: Unit is to be 1 word

Condition 2: Unit is to be 1 minute.

Let the unknown value be #x# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Solving for condition 1")#
Write as a ratio in fractional format #-> ("time")/("word count")-=("time")/1#
#5/300 -= (5-:300)/(300-:300) = (0.016bar6)/1=x/1#
Unit rate is #0.016bar6# minutes per word
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Solving for condition 2")#

Write as a ratio in fractional format

# ("word count")/("time")-=("word count")/1=x/1#
#x/1=(300-:5)/(5-:5) =60/1#
Unit rate is 60 words per minute ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Interesting fact")#
60 words per minute #->60/1 #

However, if you invert this (turn upside down) then you get the other rate

#1/60-> 1-:60 = 0.016bar6#
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Answer 2

It represents 60 words per minute. It takes 0.0167 minutes to read 1 word.

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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.

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.

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.

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.

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