To determine the meaning of the initial amount in the equation describing the total amount the technician charges, we need to identify which part represents the fixed charge versus the charge per hour.
Assuming the equation is in the form \( y = mx + b \) (where \( m \) is the hourly rate and \( b \) is the fixed charge), the initial amount (the y-intercept) represents the fixed charge that the technician applies just for the service, regardless of how many hours are worked.
Based on the options provided, if we focus on the fixed amount charged for the repair:
- B states that it means the technician charges a fixed amount of $45 for the repair.
- C states that it means the technician charges a fixed amount of $75 for the repair.
Without knowing the specific numbers in the equation, we can't definitively say which one is the correct answer. However, if the initial amount in question is $45, then the correct answer would be B. If it is $75, then the correct answer would be C.
Please check the equation to identify the initial amount. If $45 is the fixed amount, then B is correct. If $75 is the fixed amount, then C is correct.