Answer :
To find the unit rate for Joel's running, we need to determine how many meters he runs per minute. Here's a step-by-step guide to solving the problem:
1. Convert Time to Seconds:
- First, convert the time from minutes and seconds into total seconds. Joel ran for 4 minutes and 45 seconds.
- Convert the 4 minutes into seconds: [tex]\(4 \text{ minutes} \times 60 \text{ seconds/minute} = 240 \text{ seconds}\)[/tex].
- Add the additional 45 seconds: [tex]\(240 \text{ seconds} + 45 \text{ seconds} = 285 \text{ seconds}\)[/tex].
2. Calculate the Unit Rate in Meters per Second:
- Now, divide the distance Joel ran, 1500 meters, by the total time in seconds, 285 seconds, to find the rate in meters per second.
- [tex]\( \frac{1500 \text{ meters}}{285 \text{ seconds}} \approx 5.26 \text{ meters per second} \)[/tex].
3. Convert the Rate to Meters per Minute:
- Since we want the unit rate in meters per minute, multiply the rate in meters per second by 60 (because there are 60 seconds in a minute).
- Approximate the calculation: [tex]\(5.26 \text{ meters/second} \times 60 \text{ seconds/minute} = 315.79 \text{ meters/minute}\)[/tex].
Therefore, Joel's unit rate of running is approximately 315.79 meters per minute.
1. Convert Time to Seconds:
- First, convert the time from minutes and seconds into total seconds. Joel ran for 4 minutes and 45 seconds.
- Convert the 4 minutes into seconds: [tex]\(4 \text{ minutes} \times 60 \text{ seconds/minute} = 240 \text{ seconds}\)[/tex].
- Add the additional 45 seconds: [tex]\(240 \text{ seconds} + 45 \text{ seconds} = 285 \text{ seconds}\)[/tex].
2. Calculate the Unit Rate in Meters per Second:
- Now, divide the distance Joel ran, 1500 meters, by the total time in seconds, 285 seconds, to find the rate in meters per second.
- [tex]\( \frac{1500 \text{ meters}}{285 \text{ seconds}} \approx 5.26 \text{ meters per second} \)[/tex].
3. Convert the Rate to Meters per Minute:
- Since we want the unit rate in meters per minute, multiply the rate in meters per second by 60 (because there are 60 seconds in a minute).
- Approximate the calculation: [tex]\(5.26 \text{ meters/second} \times 60 \text{ seconds/minute} = 315.79 \text{ meters/minute}\)[/tex].
Therefore, Joel's unit rate of running is approximately 315.79 meters per minute.
