Aaron designed a robot for a contest. His robot can move 3/4 meter in 1/2 second. What is the robot's unit rate of speed?
Who else looked up their 7th grade hw? Because I did!
To find the unit rate of speed, we need to divide the distance by the time.
The robot moves 3/4 meter in 1/2 second.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, the unit rate of speed is (3/4 meter) / (1/2 second).
Let's multiply the numerator and denominator to solve it:
(3/4) / (1/2) = (3/4) * (2/1) = (3*2) / (4*1) = 6/4.
Simplifying this fraction, we get: 6/4 = 3/2.
Therefore, the robot's unit rate of speed is 3/2 meter per second.
To find the unit rate of speed for the robot, we need to determine the distance traveled by the robot in one second. We can convert the given information to have a common unit of time.
Given:
Distance traveled in 1/2 second = 3/4 meter
To find the distance traveled in one second, we can multiply the distance traveled in 1/2 second by 2, since 1/2 * 2 = 1:
(3/4 meter) * 2 = 6/4 meter = 3/2 meter
Therefore, the robot can move 3/2 meter in one second.
The unit rate of speed for the robot is 3/2 meter per second.