Make a step function based on a real life example & graph it

Question

Your job is to come up with a real life application for a step function. Please write it out completely, and then assign an equation and make a graph for it. You can graph on paper or attach a graph you did using an online tool.

Answer 1

Tax brackets

X is annual Income

F(x) returns the percent tax

F(x)= { 0.15=15% if x<=5000

0.20=20% if x=(50000,100k]

0.35=35% if x=(100k,250k)

50%=0.5 if x>=250k

}

Answer 2

There are many examples of step functions

- tax rate as a function of taxable income

- store closing as a function of time

- winner of an election as a function number of votes

- classification of a wrestler as a function of his weight

I do not know how you are supposed to represent a step function,

but an example of one representation is at this website:

https://www.cdc.gov/healthyweight/assessing/bmi/adult_bmi/index.html#InterpretedAdults

It has a table, which is a representation of the Weight Status as a function of BMI.