Difference between revisions of "1951 AHSME Problems/Problem 17"
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<math>\textbf{(C)}\ x = 5y\implies \frac{x}{y}=5</math> | <math>\textbf{(C)}\ x = 5y\implies \frac{x}{y}=5</math> | ||
| − | <math> \textbf{( | + | <math> \textbf{(E)}\ \frac {x}{y} = \sqrt {3}\implies \frac {x}{y} = \sqrt {3}</math> |
As we can see, the only equation without a "standard" form is <math>\textbf{(D)}</math>, so our answer is <math>\boxed{\textbf{(D)}\ 3x + y = 10}</math> | As we can see, the only equation without a "standard" form is <math>\textbf{(D)}</math>, so our answer is <math>\boxed{\textbf{(D)}\ 3x + y = 10}</math> | ||
Latest revision as of 19:18, 30 April 2015
Problem
Indicate in which one of the following equations 
is neither directly nor inversely proportional to 
:
Solution
Notice that for any directly or inversely proportional values, it can be expressed as 
or 
. Now we try to convert each into its standard form counterpart.
As we can see, the only equation without a "standard" form is 
, so our answer is 
See Also
| 1951 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 16 |
Followed by Problem 18 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
