Question

One year ago, Anne could run a mile in m minutes. Since then, her time hasdecreased by 16%. Write two different expressions that represent the number ofminutes it now takes Anne to run a mile, and show or explain why the expressionsare equivalent.

Answer 1

We know that

• Anne could run a mile in ,m, minutes.

,

• Now, time has decreased by 16%.

The following expressions represent the number of minutes She uses to run a mile now.

`(16)/(100)\cdot m`

This expression represents 16% of m in fraction form.

`0.16\cdot m`

This expressed represents 16% of m in decimal form.

Both expressions are equivalent because they refer to the same percentage 16%. That is 0.16 and 16/100 are equivalent to 16%