Final answer:
To represent the scenario of two training programs with different costs, we can use the equations t = c + 35 and t = 5c.
Step-by-step explanation:
In this scenario, we have two different training programs at a pet store. The first program charges a $35 membership fee and $5 for each class.
The second program does not have a membership fee, but charges $10 for each class. We want to find out for how many classes the total cost will be the same for both programs.
To create the system of equations, we can use the variable c to represent the number of classes and t to represent the total cost. The equations that represent the scenario are:
t = c + 35
t = 5c