Question

On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordinate of point T.

Coordinate of X = ________
Distance of XB = ________
Fractional distance 2/3(XB) = _________
Coordinate of T = ________

Answer 1

Part 1

`x = (b + a)/(2) = (50 + 5)/(2) = (55)/(2) = 27.5`

Part 2

`xb = b - x = 50 - 27.5 = 27.5`

Part 3

`(2)/(3) xb = (2)/(3) (27.5) \approx18.34`

Part 4

`t = (2)/(3) ab = (2)/(3) (b - a) = (2)/(3) (45) =15 \\`