Question

Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 2/3 A= -24 is the coordinate of point A.The solution to the equation 20= -B/0.2 is the coordinate of Point B. (A) solve the first equation to find the coordinate of point A. Show your work. (B) Solve the second equation to find the coordinate of point B. Show your work. (C) Determine the distance between Points A and B. Explain.

Answer 1

(A) 2/3*A = -24
.. A = (3/2)*-24 = -36

(B) 20 = -B/0.2
.. -0.2*20 = B = -4

(C) The distance between the two points is (-4) -(-36) = 32.
Distance is generally a positive number. For two points on the number line, it is found by subtracting the value of the leftmost point on the number line from the value of the rightmost point.