Set 1: Systems of Equations (Intermediate)
Explanation
An online store charges $15 per book plus $8 shipping. Another store charges $18 per book with free shipping. After how many books do both stores cost the same?
1 book
2 books
3 books
4 books
Detailed Explanation
Choice C is correct. Choice C is the correct answer. Let be the number of books. Store 1: Store 2: Set equal: $$$15b + 8 = 18 b8= 3 b$b = \frac{8}{3} \approx 2.67 Since we need whole books, round up to 3. - 2 books: Store 1 = 53, Store 2 = 54 dollars (close) Strategic Tip: Break-even problems compare two linear cost models. Choice A is incorrect because costs are 18. Choice B is incorrect because costs are 36. Choice D is incorrect because costs are 72.
Key Steps:
The correct answer is 3 books
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