In order to find this out, let's convert both of them into percents. Since 17.5 is already a percent, we only have to convert 1/6 into a percent. To convert 1/6 into a percent, you have to divide the numerator by the denominator. If you do that, you will get 0.1666..... as a repeating decimal. Now, multiply the decimal by 100 or just move the decimal 2 spaces to the right to get the percent. If you do that, you will get 16.6%. Since it is a repeating decimal, you can round it to 16.7%. So, 17.5% is larger than 1/6.
Hope it helps :)
Answer:
(D) 
Step-by-step explanation:
One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.
Length (L): w + 3.5
width (w): w
Perimeter (P) = 2L + 2w
31 = 2(w + 3.5) + 2(w)
31 = 2w + 7 + 2w
31 = 4w + 7
24 = 4w
6 = w
Length (L): w + 3.5 = (6) + 3.5 = 9.5
Answer: width = 6 inches, length = 9.5 inches
Wish I could help on so sorry