Final answer:
The rate of change of the total cost with respect to the number of hours in the equation T = 50 + 35h is $35 per hour.
Step-by-step explanation:
The question asks us to determine the rate of change of the total cost with respect to the number of hours using the equation T = 50 + 35h. In this linear equation, the variable 'T' represents the total cost, and 'h' represents the number of hours. The rate of change is given by the coefficient of the variable 'h', which in this case is 35. This means that for each additional hour worked, the total cost increases by $35. So, the rate of change of the total cost with respect to the number of hours is $35 per hour.