Question

49 Jessica skated 4 laps in 82 seconds. Which of the following is an equivalent rate of skating??A6 laps in 120 secondsB10 laps in 205 secondsC 6 laps in 130 secondsD10 laps in 215 seconds

Answer 1

B. 10 laps in 205 seconds

Step-by-step explanation

If we write the rate of laps to seconds as a fraction we have:

`(4)/(82)=(2)/(41)`

I simplified the fraction and got 2/41. An equivalent rate must give the same simplified fraction. For option B:

`(10)/(205)=(2)/(41)`

We can reduce both rates to the same rate: 2 laps every 41 seconds. Therefore, these two rates are equivalent.