I was given a graph of an adult riding a bike.
So I believe the period represents how long the wheels take to turn (is that correct?) now they want me to make a graph of a child riding a bike.
Do you think the period would be bigger or smaller? I was thinking it might take longer because the child would go slower. That being said children's bikes have smaller wheels and thus would make a full turn faster. What do you think?
You're on the right track! The period of a graph represents the time it takes for one complete cycle of the function. In the context of a graph of an adult riding a bike, the period would represent the time it takes for one complete revolution of the bike wheels.
Now, when it comes to the graph of a child riding a bike, you're correct that it would likely have a different period. Since you mentioned that children's bikes have smaller wheels, they would make a full turn faster compared to adult bikes with larger wheels. This means that the child's bike will complete one revolution in less time, resulting in a smaller period on the graph.
To make a graph of a child riding a bike, you can start by considering the period. If you have the graph of an adult riding a bike, you can determine the period by identifying the distance between two consecutive peaks or troughs of the graph. Then, when sketching the graph of a child riding a bike, you can decrease the period so that it represents a shorter time interval between consecutive peaks or troughs.
It's important to note that there may be other factors that can affect the graph, such as the child's cycling speed and overall behavior. However, focusing on the period based on the size of the wheels will give you a good starting point to make a reasonable approximation of the graph.