Can you explain how A and C are correct? I don’t really understand the explanation ETS gives.
Thank you
Only C is the correct option!!
Let x be the price of the book. Then we have 1.04x including the sales tax. That must be greater than 7, because she received less than $3 in change. That is, 1.04x > 7 or x > 7/1.04 = 6.73. Similarly, x < \frac{10}{1.04} = 9.61
- A is not correct because 9.5 != 9.61 - the price of the book could have been $9.55 for instance
- B is not correct because 6.9 != 6.73 - the price of the book could have been $6.8 for instance
- C is correct as a result. Even otherwise, the sales tax is 0.04x. The maximum sales tax is 0.04 \times 9.61, which is less than 0.45.
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Thank you!
cnmb 