It looks like you're working on a math practice assignment related to functions and data representation. Here's how you might approach each section:
Function of the Day:
Group of People Waiting for the Bus
What do you know?
- The number of people waiting might change throughout the day.
- Time of day could affect the number of people waiting (e.g., rush hour vs. non-rush hour).
- Weather conditions may influence how many people are waiting for the bus.
- Special events (like concerts or sports games) can increase the number of people waiting.
- There may be patterns in waiting times (e.g., buses arriving every 15 minutes).
- The number of bus stops in the area may impact how many people wait at each stop.
- Some people may leave if the wait is too long.
- Social factors (e.g., people traveling together) might affect the number of individuals waiting.
- There might be differences between weekdays and weekends in terms of ridership.
- Availability of alternative transportation (e.g., rideshares, biking) can affect bus ridership.
Vocabulary Terms - Define/Illustrate
Graphs Representing Data:
- Scatter Plot - A graph that uses dots to represent the values obtained for two different variables.
- Bar Graph - A graph that represents data with rectangular bars where the height or length of the bar is proportional to the value it represents.
- Line Graph - A graph that displays information as a series of data points connected by straight line segments.
- Histogram - A graphical representation showing the distribution of numerical data using bars.
- Pie Chart - A circular statistical graphic divided into slices to illustrate numerical proportions.
5 Problems - SHOW ALL WORK!
Problem 1: Describe the Association
Using the data from Suzie's survey:
- As the number of items purchased increases, does the total amount spent also increase? This would indicate a positive association.
Problem 2: Dependent and Independent Variables
- Dependent Variable: Total amount of money spent.
- Independent Variable: Number of items purchased.
Problem 3: Shoppers Surveyed
- If Suzie surveyed 30 shoppers (hypothetical number for this example).
Problem 4: Relationship Explanation
- Yes, the number of items purchased seems to have an effect on how much money is spent. Generally, buying more items usually leads to a higher total expense, assuming prices vary within a certain range.
Data on Snowboarding Competition Attendance
How many competitions were surveyed?
- If data collected includes 10 years of competitions, with a hypothetical 20 events/year, we could say 200 competitions were surveyed.
Does the year of the competition affect attendance?
- Yes, if the data shows fluctuations in participant numbers, it suggests that certain years had higher attendance due to factors like location or popularity of snowboarding.
Television Size and Price
- Generally, as television size increases, the price tends to also increase. This suggests a positive correlation, where larger televisions are typically more expensive due to higher manufacturing costs and demand.
What do I need help with?
- If you have specific questions or topics that you find challenging, list them here. It could be understanding independent vs. dependent variables, identifying types of associations, or interpreting data from graphs.
Make sure to work through the problems step by step, showing all your calculations and reasoning!