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Algebra / Linear functions Difficulty: Easy

To repair a refrigerator, a technician charges $dollar sign 60$ per hour for labor plus $dollar sign 120$ for parts. Which function f represents the total amount, in dollars, the technician will charge for this job if it takes $x$ hours?

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Explanation

Choice C is correct. It’s given that the technician charges $dollar sign 60$ per hour for labor. Therefore, if the job takes $x$ hours, the technician will charge $left parenthesis StartFraction dollar sign 60 Over 1 hour EndFraction right parenthesis left parenthesis x hours right parenthesis$ , or $dollar sign 60 x$ , for labor. It’s also given that the technician charges $dollar sign 120$ for parts. Therefore, $f (x) = 60 x + 120$ represents the total amount, in dollars, the technician will charge for this job if it takes $x$ hours.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This function represents the total amount, in dollars, the technician charges for labor only, not the total amount charged for labor and parts.

Choice D is incorrect. This function represents the total amount, in dollars, the technician would charge if the charge for parts were subtracted from, rather than added to, the charge for labor.