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 choice from the following:
A) 6.8 B) 7.4 C) 7.7 D) 8.2 E) 8.6
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">17 - 8</gadget>
<output>9</output>

<gadget id="calculator">(1/5) * 9</gadget>
<output>9/5 = around 1.8</output>

<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>

<gadget id="calculator">(9/5) / (3/10)</gadget>
<output>6</output>

<gadget id="calculator">15 - 8</gadget>
<output>7</output>

<gadget id="calculator">7 * (1/5)</gadget>
<output>7/5 = around 1.4</output>

<gadget id="calculator">6 + (7/5)</gadget>
<output>37/5 = around 7.4</output>

<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?
add(divide(multiply(divide(1, 5), subtract(17, 8)), divide(30, const_100)), multiply(subtract(15, 8), divide(1, 5)))
"let x be the length of the size 8 shoe . then 0.3 x = 9 / 5 x = 90 / 15 = 6 inches the size 15 shoe has a length of 6 + 7 / 5 = 7.4 inches the answer is b ."