The given equation is \( C = 5 + 12x \), where \( C \) is the total amount of money Julia earns, \( 5 \) represents a fixed amount, and \( 12x \) represents the earnings based on the number of hours worked (\( x \)) at a rate of $12 per hour.
From the context of the options provided:
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Julia earns $5 every hour for her pet sitting job - This is incorrect because Julia earns $12 per hour for her job.
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Julia earns $12 every hour for her petting job - This is correct as the coefficient \( 12 \) in the term \( 12x \) indicates her hourly rate for pet sitting.
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The total amount of money Julia earns - This is also correct but does not specifically refer to the coefficient in the term \( 12x \).
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The initial amount of money Julia has in her pocket - This relates to the constant \( 5 \) in the equation and is not the interpretation of the coefficient of the term \( 12x \).
The best interpretation of the coefficient (which is \( 12 \)) in the equation would be:
Julia earns $12 every hour for her petting job.