How do you write each real-world example as a rate using labels and then the unit rate: Mrs. Thomas charges $60 for 120 minutes of tutoring?

1 Answer
Feb 27, 2017

See the explanation

Explanation:

Let time be t
Let cost be c

Basing unity to be time

The units of measurement for time in the question is given as minutes. So using the same unites as in the question we have:

Using ratio: costtimect=$60120

To make unit time we need to convert the 120 minutes into 1 minute

So we have: $60.00÷120120÷120=$0.501

For unit time to be 1 minute the charge is $0.50
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However, unit charge is normally stated as cost per hour.

So to change this to that form we need 60 minute

$0.50×601×60=$3060 minute

But 60 minutes is the same as 1 hour giving:

$301 hour