Looking at the number line, we see that there is only one point that is greater than 1.
Therefore, its cube will result in a number greater than itself. The other points will result in smaller numbers than themselves because one of them is negative, one is zero, and the other is between 0 and 1. The answer is D.
Alternative Solution
Estimate numbers
We can estimate the numbers on the number line.
Let's calculate the cube of each of them.
Point
Number
Cube
P
- 2.5
(- 2.5)^3=- 15.625
Q
0
0^3=0
R
0.5
(0.5)^3=0.125
T
1.8
(1.8)^3= 5.832
We see that the cube of the number represented by the point T is greater than itself.
5.832 > 1.8
