To determine the meaning of the initial amount in the equation that describes the total amount charged by the technician, we need to understand that the initial amount represents a fixed charge, independent of the number of hours worked.
Thus, if we assume the equation is in the format:
\[ y = mx + b \]
where:
- \( y \) is the total amount charged,
- \( m \) is the additional amount charged per hour,
- \( x \) is the number of hours,
- \( b \) is the initial fixed charge.
If $45 is the initial amount or fixed charge, that would be represented by \( b \), meaning the technician charges a fixed amount of $45 for the repair. If $75 is the initial amount, it would imply that the fixed charge is $75.
Since the options provided suggest that the initial amount being referred to is $45 and $75, we look for the correct interpretation based on typical representations.
Hence:
- If \( b = 45 \), the answer would be B: It means the technician charges a fixed amount of $45 for the repair.
- If \( b = 75 \), the answer would be C: It means the technician charges a fixed amount of $75 for the repair.
In the absence of knowledge regarding the exact initial amount, we can choose these accordingly. Therefore, without additional context from the equation:
If the fixed amount is indeed $45, B is correct.
If the fixed amount is $75, C is the correct.
Since we don't have the actual equation, we can't pinpoint whether B or C is definitively right without further information.
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