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 1/5-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) 6.8  B) 7.4  C) 7.7  D) 8.2  E) 8.6
Let x be the length of the size 8 shoe.   Then 0.3x = 9/5   x = 90/15= 
<gadget id="calculator">90/15</gadget>
<output>6</output>
6 inches   The size 15 shoe has a length of  6 + 7/5= 
<gadget id="calculator"> 6 + 7/5</gadget>
<output>37/5 = around 7.4</output>
7.4 inches   The answer is 7.4.
<result>B</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 1/5-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?