Determine if the rates $24 for 6 hours of work and $36 for 8 hours of work are equivalent. Explain your reasoning.
divide dollars by hours
compare results
To determine if the rates of $24 for 6 hours of work and $36 for 8 hours of work are equivalent, we can calculate the hourly rate for each and compare them.
The formula to calculate the hourly rate is:
Hourly Rate = Total Pay / Total Hours
For the first rate of $24 for 6 hours of work:
Hourly Rate = $24 / 6 hours
Hourly Rate = $4 per hour
For the second rate of $36 for 8 hours of work:
Hourly Rate = $36 / 8 hours
Hourly Rate = $4.50 per hour
As we can see, the first rate has an hourly rate of $4 per hour, while the second rate has an hourly rate of $4.50 per hour. Since the hourly rates are not the same, we can conclude that the rates of $24 for 6 hours and $36 for 8 hours are not equivalent.
In conclusion, the first rate of $24 for 6 hours and the second rate of $36 for 8 hours are not equivalent because they have different hourly rates.