GeminiHeat wrote:
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 20% longer than the smallest size, how long, in inches, is the shoe in size 15?
A. 12
B. 12.25
C. 12.5
D. 12.75
E. 13
Let size 8 be \(x\)
and size 17 be \(y\)
8 = \(x\)
9 = (\(x\) + 0.25)
10 = (\(x\) + 0.50)
11 = (\(x\) + 0.75)
12 = (\(x\) + 1)
13 = (\(x\) + 1.25)
14 = (\(x\) + 1.50)
15 = (\(x\) + 1.75)
16 = (\(x\) + 2)
17 = (\(x\) + 2.25)
Given, \(y = 1.2x = x + 2.25\)
\(0.2x = 2.25\)
\(x = 11.25\)
Size 15 = \(x\) + 1.75 = 13
Hence, option E