Terrell is a dog trainer. He charges $75 for each training session plus $1.45 per mile that he must drive to and from the session. Write an expression to represent this situation. Explain your answer.
The expression to represent this situation is:
75 + 1.45d
Where d is the distance (in miles) Terrell must drive to and from the training session.
The first part of the expression, 75, represents the flat fee charged by Terrell for each training session.
The second part of the expression, 1.45d, represents the additional amount charged per mile that Terrell must drive. So, if Terrell had to drive 10 miles to and from the training session, the additional charge would be 1.45 x 10 = $14.50.
Overall, the expression gives the total cost for a training session with Terrell, taking into account both the flat fee and distance-driven component of his pricing.