<ol>
<li><p>In 1954, the record time for running a mile was 4 minutes, and by 1975 the record had fallen to 3 minutes and 50 seconds. If the record had fallen at a constant rate during that time and continued to do so, in what year can it be expected that the record time for running a mile will be 3.5 minutes?</p></li>
<li><p>The average, arithmetic mean, of the five numbers above is the same as the median of these numbers. What is one possible value of x?</p></li>
<li><p>A cube shaped cardboard box with no top had edges that were each 6 inches long, as shown in the figure on the left. All of the upright edges of the box were cut so that the cardboard could lie flat, as shown in the center figure. Then, 1 inch wide strips and 1 in squares were cut away from the cardboard, as indicated by the dotted lines and by the shaded squares. The remaining cardboard was refolded into a new rectangular box and taped together without overlap, as shown on the right. What is the volume in cubic inches of the new box?</p></li>
<li><p>If 75<(x-2)/3 < 76
what is one possible value of (x-2)/6?</p></li>
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<p>Thank you!</p>
<ol>
<li><p>It took 1975 - 1954 = 21 years for the record to fall 10 seconds. To get to 3.5 minutes it has to fall 20 seconds more, so you’ll need 42 more years. 1975 + 42 = 2017.</p></li>
<li><p>Dunno without the numbers.</p></li>
<li><p>I’m guessing they’re taking an inch off of everything since I don’t have the diagram. In that case, the base, which used to be 6x6, is now 4x4. The sides are now 4x6, so the height is 6. The volume is (base)(height) = 4x4x6 = 96.</p></li>
<li><p>(x-2)/6 is one half of (x-2)/3, so 37.5 < (x-2)/6 < 38. Choose the choice that fits in there.</p></li>
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<ol>
<li><p>11 years passed and during that time, the record time fell 10 seconds. So to find the rate it fell per year, we have 10/21= .476 seconds per year. Now we want to find how many years will pass before the record become 3.5 minutes. In that time span, the record will have fallen 50-30= 20 seconds. To find the years that passed, we divide 20/.476 to get 42.02 years. 42 +1975= 2017 so the record will fall to 3.5 minutes towards the beginning of 2017.</p></li>
<li><p>Numbers aren’t given.</p></li>
<li><p>Diagram would help. </p></li>
<li><p>75<(x-2)/3 < 76. Multiply everything by 3 to get 225<x-3<228. Add 3 to both sides to get 228<x<231. Arbitrarily picking 230, we have (230-2)/6=228/6=38</p></li>
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