7. Determine the equivalent rates. a) 4laps/15min=12laps/ldots min b) 20km/5h=km/h c) 10m/30sec=m/min d) 20km/15min=km/h

## Step 1: Finding the Multiplier for (a)### We have laps in minutes. We want to find how many minutes it takes for laps. Since , we multiply the time by as well. .## Step 2: Calculating the Unit Rate for (b)### We have km in hours. To find the unit rate (km/h), we divide the distance by the time: .## Step 3: Converting Seconds to Minutes for (c)### We have meters in seconds. Since there are seconds in a minute, and seconds is of a minute, we have meters in minute. To find the rate in meters per minute, we multiply the distance by : . Alternatively, since , we can set up a proportion: . Cross-multiplying gives , so m/min.## Step 4: Converting Minutes to Hours for (d)### We have km in minutes. Since there are minutes in an hour, minutes is of an hour. We have km in hour. To find the rate in km/h, we multiply the distance by : . Alternatively, since , we can set up a proportion: . Cross-multiplying gives , so km/h.