To find the unit rate when you earn a total of [tex]$56 for babysitting over a period of 6 hours, you would follow these steps:
1. Understand the concept of unit rate: A unit rate is the amount you get for one unit of something. In this case, we are interested in finding out how much money you earn per one hour of babysitting.
2. Set up the problem: You have two quantities here - the total money earned ($[/tex]56) and the total time spent earning that money (6 hours). You are looking for how much money is earned for every hour of work.
3. Write the formula for unit rate: The unit rate can be found by dividing the total amount earned by the total number of hours worked.
[tex]$ \text{Unit Rate} = \frac{\text{Total Earnings}}{\text{Total Hours}} $[/tex]
4. Plug in the values into the formula: In this case, the total earnings are [tex]$56 and the total hours are 6.
$[/tex][tex]$ \text{Unit Rate} = \frac{56}{6} $[/tex][tex]$
5. Perform the division to calculate the unit rate: When you divide 56 by 6, you get approximately 9.33 (to two decimal places).
$[/tex][tex]$ \text{Unit Rate} \approx 9.33 $[/tex][tex]$
So, the unit rate is approximately $[/tex]9.33 per hour. This means for every hour you babysit, you earn about $9.33.
