Find each unit rate.
- 20 mi in 5 h
- 78 mi on 3 gal
Please and thank-you
Convert the first pair of number to miles per minute, using division.
Convert the second pair of numbers to miles per gallon, using division.
Convert the first pair of number to miles per minute, using division.
Convert the second pair of numbers to miles per gallon, using division.
i have no idea <3
No worries! I'm here to help you understand how to find the unit rates in these examples. Let's go through each one step by step:
1. "20 mi in 5 h"
To find the unit rate for this example, we want to determine the distance traveled in miles per unit of time, specifically per hour. To do this, we divide the total distance (20 mi) by the total time (5 h).
Unit rate = Total distance / Total time
= 20 mi / 5 h
= 4 mi/h
So, the unit rate is 4 miles per hour (mi/h). This means that the object traveled at an average speed of 4 miles per hour.
2. "78 mi on 3 gal"
Similarly, for this example, we want to find the unit rate of miles per unit volume, specifically miles per gallon. To do this, we divide the total distance (78 mi) by the total volume (3 gal).
Unit rate = Total distance / Total volume
= 78 mi / 3 gal
We can keep this rate as is or simplify it by dividing both numerator and denominator by the greatest common divisor (GCD) of 78 and 3, which is 3.
Unit rate = 26 mi / 1 gal
So, the unit rate is 26 miles per gallon (mi/gal). This means that the object traveled an average of 26 miles per each gallon of fuel consumed.
Remember, to find a unit rate, you divide the quantity you are interested in (distance, time, volume, etc.) by the corresponding unit.