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Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are taken out) could be written f(x)=6x.


What is the independent variable in this function and what does it represent?


What does the dependent variable represent?


What is a reasonable domain for this function? Why?


What is a reasonable range for this function? Why?


What does f(20)=120 mean in the context of this situation?

Verified Answer :

caseyjdishroon

the independent variable is the $6 you make at your job.

The dependent variable is how much you make each week. and the dependent variable represents x.

a reasonable domain for the function is going to have to be your $6 dollars because your pay rate doesn't go up or down.

a reasonable range for the function is 240 because you are only allowed to work 40 hours a week at any job unless they want to give you overtime so the max amount you can earn is $240

the function represents you working 20 hours and getting paid $120 because 6 times 20 is 120

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The independent variable x represents the number of hours weekly working, the dependent variable is f(x) and represents the paycheck, domain 0 - 49, range 0 - 294,f(20)=120 it shows you did 20 hours/week of work and you get a payout of $120.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function.

Given function is f(x) = 6x.

1) The independent variable will be x and represent the number of hours weekly working.

2) The dependent variable of the function is f(x) and its represents paycheck.

3) Reasonable domain 0 - 49 hours if you do 7 hours/day work.

4) Reasonable range will be 0 - 294 according to the domain.

5) f(20)=120 represents that you did 20 hours/week of work and you get a payout of $120.

For more about the function

brainly.com/question/23712366

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