<p>1) 2kx=y
If x is not equal to y in the equation above, which of the following cannot be the value of the constant k?
Answer is 1/2 but how ?)
2)
Companies C's retirement policy states that an employee is first eligible to retiree when the sum pd the employees age and number of years the employee has worked for company C is 70, provided that the employee has worked at Lear 15 years in the company. If denies is 45 and has worked 9 years, how many more years must she continue to work for the company before she is first eligible to retire?
The answer is 8 . I piked 16 as 9+16+45 =70 </p>
<p>1) If k = 1/2 then 2k = 1 which would imply that x=y.
2) I’ve got a feeling this is transcribed incorrectly</p>
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<li>If Denise works 16 more years, then she will be 61 and will have worked 25 years, 61+25 = 86 >> 70. We can do better.</li>
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<p>In general, if Denise works x more years, she will be 45+x years old and will have worked 9+x years. We want (45+x)+(9+x) >= 70, solving yields x >= 8. Also 9+8 >= 15, so the fewest number of years needed is 8.</p>
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<p>You ALMOST had it right. Safe and except, that for every year she works more, she will also get older. Your pick of sixteen should have been “distributed” equally between her age and the number of years. So, 45 + 8 for 53 and 9 + 8 for 17. The total being 70. </p>
<p>Fwiw, another approach would have been to add the minimum of years to get to 15 and see what happens:</p>
<p>In six years, the numbers would be 15 + 51 = 66. So, it misses “just” 4 to 70. Add 2 more years (for age and tenure each) and you get 8! </p>
<p>For the second a small diagram helps a lot to “see it” happening. </p>