A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15? Choose the correct option:
A) 9.25  B) 11.75  C) 13.25  D) 15.75  E) 17.25
Let x be the length of the size 8 shoe.   Then 0.3x = 9/4   x = 90/12 = 15/2 inches   The size 15 shoe has a length of 15/2 + 7/4 = 37/4= 
<gadget id="calculator">37/4</gadget>
<output>37/4 = around 9.25</output>
9.25 inches   The answer is 9.25.
<result>A</result>
A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15?