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Algebra / Linear functions Difficulty: Easy

$t equals, 1000 plus 18 h$

In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week of work, where h represents the number of hours she worked that week and 1,000 represents a sign-on bonus. If Brittany’s total take-home pay was $1,576, for how many hours was Brittany paid for her first week of work?

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Explanation

Choice B is correct. Since Brittany’s total take-home pay was $1,576, the value 1,576 can be substituted for T in the given equation $T equals, 1,000 plus 18 h$ to give $1,576 equals, 1,000 plus 18 h$ . Subtracting 1,000 from both sides of this equation gives $576 equals 18 h$ . Dividing both sides of this equation by 18 gives $32 equals h$ . Therefore, Brittany was paid for 32 hours for her first week of work.

Choice A is incorrect. This is half the number of hours Brittany was paid for. Choice C is incorrect and may result from dividing 1,000 by 18. Choice D is incorrect and may result from dividing 1,576 by 18.