Question

Julia rides her bike 14 miles in 2 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

Divide the distance over the total time to find the distance Julia rides in one hour:

`\frac{14\text{ miles}}{2\text{ hours}}=7\text{ miles per hour}`

Do the same for each option to find whether or not they represent the same speed:

A)

`\frac{35\text{ miles}}{6\text{ hours}}=5.83\text{ miles per hour}`

B)

`\frac{7\text{ miles}}{1\text{ hour}}=7\text{ miles per hour}`

C)

`\frac{28\text{ miles}}{4\text{ hours}}=7\text{ miles per hour}`

D)

`\frac{42\text{ miles}}{7\text{ hours}}=6\text{ miles per hour}`

Therefore, only options B and C represent the same ratio.