15. On a number line , point P has coordinate 1.5 and point Q has coordinate 4.5. Point X is the point between P and Q whose distance from P is (2)/(3) the distance from P to 0. What is the coordinate of point X?

To find the coordinate of point X, we need to determine the distance from point P to point Q and then calculate the distance from point P to point X.<br /><br />The distance from point P to point Q is the difference between their coordinates:<br />Distance from P to Q = 4.5 - 1.5 = 3<br /><br />Now, we are given that the distance from point P to point X is $\frac{2}{3}$ of the distance from P to Q:<br />Distance from P to X = $\frac{2}{3} \times 3 = 2$<br /><br />Since point X is between points P and Q, we can find its coordinate by adding the distance from P to X to the coordinate of point P:<br />Coordinate of point X = 1.5 + 2 = 3.5<br /><br />Therefore, the coordinate of point X is 3.5.