Final answer:
To determine how many hours Tae'Quan and Zlatan will charge the same amount, we need to set up an equation representing each person's charge structure and equate them. Without the number of hours in Tae'Quan's full workday, we cannot find an exact answer. A common unit of time measurement is essential for an accurate comparison.
Step-by-step explanation:
We are asked to find out how many hours Tae'Quan and Zlatan will charge the same amount for their services. To solve this, we can set up an equation to represent each person's charging structure and then equate them.
Tae'Quan charges a fee of $150 plus an additional $25 per day. However, since we are looking for an hourly comparison, we will need to know how many hours are in Tae'Quan's working day, which is not provided. Since Zlatan charges by the hour, we will consider that Tae'Quan's rate applies to a full day's work of an unspecified number of hours. Thus, we cannot establish a direct hourly rate for Tae'Quan without additional information.
Zlatan charges $55 per hour without any flat fee. If we let h represent the number of hours, Zlatan's charge is $55h.
To find the point where they charge the same amount, we would set up an equation with Tae'Quan's total daily charge equal to Zlatan's hourly charge times the number of hours:
- Assuming Tae'Quan's $25 per day is based on a full day's work, say 'd' hours, his daily rate would be $25 times 'd', plus the flat fee of $150.
- Equating Tae'Quan's daily rate to Zlatan's hourly rate: $150 + ($25 × d) = $55h
- Solve this equation for 'h' when given the value of 'd', the number of hours in Tae'Quan's workday.
Without the number of hours that represents a full workday for Tae'Quan, we cannot find the exact value for 'h'. The key to solving such problems is to first establish a common unit of time for both charges, which in this case would be a 'per hour' charge for both Tae'Quan and Zlatan.