Question

Ella rides her bike 16 miles in 4 hours. If she rides at a constant speed, select the answers below that are equivalent ratios to the speed she rides. Select all ratios thatare equivalent.A.24 miles in 6 hoursB.20 miles in 6 hoursC.12 miles in 4 hoursD.4 miles in 1 hour

Answer 1

Divide the traveled distance over the time it takes to travel it to find the speed as a unit rate. Then, compare with other unit rates to find if they are equivalent.

`\frac{16\text{ miles}}{4\text{ hours}}=4\text{ miles per hour}`

A)

`\frac{24\text{ miles}}{6\text{ hours}}=4\text{ miles per hour}`

B)

`\frac{20\text{ miles}}{6\text{ hours}}=3.333\ldots\text{ miles per hour}`

C)

`\frac{12\text{ miles}}{4\text{ hours}}=3\text{ miles per hour}`

D)

`\frac{4\text{ miles}}{1\text{ hour}}=4\text{ miles per hour}`

Notice that the ratios given in the options A and D are equivalent, but those in B and C are not.