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

The expression t(m-j) and tm-tj are equivalent because when you open the bracket and expand t(m-j), you'll get tm-tj.

• Since the expression given to describe the number of meters that Melissa ran more than jasmine during that time is given as t(m-j). We can expand it and this will be: t(m-j) = tm - tj

• In this case, we multiply t by m which is tm; and multiply t by j which is tj.

Therefore, t(m-j) and tm-tj are equivalent.

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