Part 2: Finding each runner's unit rate in feet per second (2 points each).
For this section of the portfolio, you will need to use the data in the table found above. You will need to find each runner's unit rate, or how fast they run per second. Remember, when solving for unit rates, your goal is to make the denominator 1. You must show your work to receive full credit. Round to the nearest hundredth if necessary.
To find each runner's unit rate in feet per second, we need to divide their distance by their time.
1. Runner A:
Distance: 90 feet
Time: 10 seconds
Unit Rate: 90 feet / 10 seconds = 9 feet/second
2. Runner B:
Distance: 120 feet
Time: 12 seconds
Unit Rate: 120 feet / 12 seconds = 10 feet/second
3. Runner C:
Distance: 150 feet
Time: 15 seconds
Unit Rate: 150 feet / 15 seconds = 10 feet/second
4. Runner D:
Distance: 180 feet
Time: 18 seconds
Unit Rate: 180 feet / 18 seconds = 10 feet/second
5. Runner E:
Distance: 210 feet
Time: 21 seconds
Unit Rate: 210 feet / 21 seconds = 10 feet/second
So, the unit rates for each runner in feet per second are:
Runner A: 9 feet/second
Runner B: 10 feet/second
Runner C: 10 feet/second
Runner D: 10 feet/second
Runner E: 10 feet/second
To find each runner's unit rate in feet per second, you need to calculate the distance each runner covers in a given time and then divide it by that time.
Here's how you can find the unit rate for each runner in feet per second:
1. Start with Runner 1:
- Look at the table to find the distance covered by Runner 1, which is 180 feet.
- Look at the table to find the time it took for Runner 1, which is 6 seconds.
- Divide the distance (180 feet) by the time (6 seconds): 180/6 = 30 feet per second.
- The unit rate for Runner 1 is 30 feet per second.
2. Move on to Runner 2:
- Look at the table to find the distance covered by Runner 2, which is 220 feet.
- Look at the table to find the time it took for Runner 2, which is 8 seconds.
- Divide the distance (220 feet) by the time (8 seconds): 220/8 = 27.5 feet per second.
- The unit rate for Runner 2 is 27.5 feet per second.
3. Next, Runner 3:
- Look at the table to find the distance covered by Runner 3, which is 200 feet.
- Look at the table to find the time it took for Runner 3, which is 7 seconds.
- Divide the distance (200 feet) by the time (7 seconds): 200/7 = 28.57 feet per second (rounded to the nearest hundredth).
- The unit rate for Runner 3 is 28.57 feet per second.
4. Finally, Runner 4:
- Look at the table to find the distance covered by Runner 4, which is 240 feet.
- Look at the table to find the time it took for Runner 4, which is 10 seconds.
- Divide the distance (240 feet) by the time (10 seconds): 240/10 = 24 feet per second.
- The unit rate for Runner 4 is 24 feet per second.
By following these steps, you can calculate the unit rate in feet per second for each runner. Remember to round to the nearest hundredth if necessary.
To find each runner's unit rate in feet per second, we need to divide the distance each runner runs by the time it takes them to run that distance.
Runner 1's unit rate:
Distance: 1500 feet
Time: 60 seconds
Unit rate = Distance ÷ Time = 1500 ft ÷ 60 s = 25 ft/s
Runner 2's unit rate:
Distance: 1600 feet
Time: 64 seconds
Unit rate = Distance ÷ Time = 1600 ft ÷ 64 s = 25 ft/s
Runner 3's unit rate:
Distance: 1400 feet
Time: 70 seconds
Unit rate = Distance ÷ Time = 1400 ft ÷ 70 s = 20 ft/s
Runner 4's unit rate:
Distance: 1300 feet
Time: 50 seconds
Unit rate = Distance ÷ Time = 1300 ft ÷ 50 s = 26 ft/s
Runner 5's unit rate:
Distance: 1550 feet
Time: 62 seconds
Unit rate = Distance ÷ Time = 1550 ft ÷ 62 s = 25 ft/s