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Linear functions SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

ExplanationShow

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.

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