Is the time it takes you to run a 100-meter race a function of the speed you run? Explain.
Yes, the time it takes to run a 100-meter race is a function of the speed at which you run.
A function is a relationship between two variables, where each input (speed) corresponds to exactly one output (time). In this case, as the speed increases, the time taken to complete the race decreases.
This relationship between speed and time in a 100-meter race can be explained using the concept of average speed being equal to distance divided by time.
The formula for average speed is:
speed = distance / time
For a 100-meter race, the distance is fixed at 100 meters. So, if you increase your speed, the time taken to cover that distance decreases. This is because the faster you run, the higher your average speed will be, resulting in a shorter time required to complete the race.
Therefore, time and speed have a functional relationship, where time is the dependent variable, and speed is the independent variable.