Question

melissa ran "m" meters per second, and jasmine ran "j" meters per second. They ran for "t" seconds. The expression t(m-j) describes how many more meters melissa ran than jasmine ran during that time. We can also use the expression tm-tj to represent the same quantity. explain how the expression t(m-j) and tm-tj are equivalent.​

Answer 1

tm-tj is just the expansion of t(m-j)

Explanation:

To show how they are equivalent it would be best to substitute values for t, m and j.

Let t = 5

Let m = 2

Let j = 1

tm-tj = t(m-j)

5x2 - 5x1 = 5(2-1)

10 - 5 = 5(1)

5 = 5

Therefore tm-tj = t(m-j)