Carcass wrote:
If the tick marks on the number line below are evenly spaced, what value is represented by x?
< ---------- \(X\) -----------------| -----------------|-------------------|-------------- \(2^5\) --------------- \(2^6\) ------------- | --------->
A. \(2^0\)
B. \(2\)
C. \(-2 * 2^5\)
D. \(-3 * 2\)^5
E. \(-4 * 2^5\)
Let's assign some variables to some of the tick marks:
Let's first determine the distance between two tick marks.
\(2^6-2^5 = 2^5(2-1) = 2^5\)
So, the distance between consecutive tick marks is \(2^5\)
This means
U = \(2^5-2^5 = 0\)
And
V = \(0-2^5 = -2^5\)
And
W = \(-2^5-2^5 = -2(2^5)\)
And
X = \(-2(2^5)-2^5 = -3(2^5)\)
Answer: D