Question

Ella rides her bike 16 miles in 4 hours. If she rides at a constant speed, select the answers below that are equivalent ratiosto the speed she rides. Select all ratios that are equivalent.

Answer 1

Ella rode 16 miles in 4 hours

Since she rides at constant speed, her speed will be 1miles/4hours for as long as the ride takes, option C is not a valid option.

Now using cross multiplication we can determine the unit ratio, i.e. her speed per hour

4h ___16miles

1h____xmiles

`\begin{gathered} (16)/(4)=(x)/(1) \\ x=4 \end{gathered}`

She drives 4miles/hour → Option D. is equivalent.

Finally multiply the speed per hour by 6 to determine the equivalecy

`4\cdot6=24`

She will drive 24 miles in 6 hours, option A is also equivalent.

The correct options are A and D