Explanation
Correct answer: B.
Choice B is correct. The number that's more than can be represented by the expression . It's given that the product of and is , so it follows that , or . Subtracting from each side of this equation yields . Factoring the left-hand side of this equation yields . Applying the zero product property to this equation yields two solutions: and . Since is a positive number, the value of is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. If , the product of and the number that's more than would be , or , not .
Choice C
Choice C is incorrect. This is the value of the number that's more than , not the value of .
Choice D
Choice D is incorrect. If , the product of and the number that's more than would be , or , not .
Student discussion
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