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 10% longer than the smallest size, how long, in inches, is the shoe in size 15? Choices
A) 18.25  B) 20.75  C) 22.25  D) 24.25  E) 26.75
Let x be the length of the size 8 shoe.   Then 0.1x = 9/4   x = 90/4 inches   The size 15 shoe has a length of 90/4 + 7/4 = 97/4= 
<gadget id="calculator">97/4</gadget>
<output>97/4 = around 24.25</output>
24.25 inches   The answer is 24.25.
<result>D</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 10% longer than the smallest size, how long, in inches, is the shoe in size 15?