Question 549371
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If you received a 93% for missing 3, then if *[tex \Large x] is the number of problems on the test:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 0.925\ \leq\ \frac{x\ -\ 3}{x}\ <\ 0.935]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 0.925x\ -\ x\ \leq\ -\ 3\ <\ 0.935x\ -\ x]


So


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{3}{0.065}\ >\ x\ \Rightarrow\ x\ <\ 47]


and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{3}{0.075}\ \leq\ x\ \Rightarrow\ x\ \geq\ 40]


So, if there were 40, 41, 42, 43, 44, 45, or 46 problems on the test and you missed three, your percentage score would round off to 93%.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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