SOLUTION: Can someone please help me answer these? Consider the example of the states of the United States and their U.S. senators. You can say that the senators are not a function of

Question 558182: Can someone please help me answer these?

Consider the example of the states of the United States and their U.S. senators. You can say that the senators are not a function of the states because each state has more than one senator. However, you can say that the states are a function of the senators because each senator is associated with only one state.
Make up your own examples of two real-world sets, with each set having more than one element.
Discuss how elements of those sets can be paired.
Explain whether one of the sets can be considered a function of the other.
Address the following regarding linear and nonlinear functions:
Explain the difference between a linear and nonlinear function. Point out a specific type of nonlinear function to help explain the difference.
Are linear/nonlinear equations the same as linear/nonlinear functions? What are the differences you see between equations and functions? Try to emphasize when one would use an equation or a function in a real-life application.
Found 2 solutions by richard1234, Snow Bird:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Try the average height of a child with respect to age. That can be considered a function (for data, see http://www.disabled-world.com/artman/publish/height-weight-teens.shtml)

I'll let you try the rest since this type of exercise is for your own good. Remember the difference between linear and non-linear: "linear" means "line." Simple as that.
Answer by Snow Bird(1) (Show Source): You can put this solution on YOUR website!
1. Two Real-World Sets
Family-
kids and moms
The moms are a function of the kids because each kid has only one mom. The mom is the function because she has more than one kid.
Football Team-
team and players
The team is a function of the players because each player is on only one team. The team is the function because it has more than one player.
2. The difference between linear and nonlinear functions:
A linear function shows a constant rate of change between 2 variables: Distance = rate * time is a linear function
A non-linear function does not have a constant rate of change between 2 variables: area of a rectangle is non-linear function; height of a falling object is affected by the acceleration due to gravity.
Are linear/nonlinear equations the same as linear/nonlinear functions? No
A function outputs a value for every input value while an equation sets two expressions equal and only specific values make the equation true. An equation does not output a value.
Real-life uses:
Function: exponential growth and decay. You input the time and rate of growth to calculate the result � the amount in the future
Equation: using equation to calculate total cost of an item, if you know the cost and how much money you have, you can calculate the exact number of items you can buy.

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