Question

Juan earns $11 per hour and works at most 30 hours per week. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values. amount of money earned; hours worked; 0 to 30; $0 to $330 hours worked; amount of money earned; $0 to $330; 0 to 30 amount of money earned; hours worked; $0 to $330; 0 to 30 hours worked; amount of money earned; 0 to 30; $0 to $330

Answer 1

domain/independent quantity: 0 to 30 hours

range/dependent: $0 to $330 amount of money earned

Answer 2

hours worked; amount of money earned; 0 to 30; $0 to $330

Explanation:

Given

Earnings = $11 per hour

Work duration = 30 hours per week

A variable is said to be independent if it does not depend and cannot be changed by the other variables you are trying to measure. They are often denoted by x.

A dependent variable is the variable being tested in an experiment and it depends on the independent variable for its value.

Having said this; the independent variable in this question are

1. The earnings per hour
2. Weekly work duration

The dependent variables are

1. Weekly earnings

The range is the weekly work hours 0 to 30 hours. The minimum is 0 and the maximum is 30 hours.

This is denoted by R(0,30)

As the range (i.e. the work hours) increases, his earnings also increases,

So, when weekly hour = 0

Weekly Earnings = 0 * $11

Weekly Earnings = $0

When weekly hour = 30

Weekly Earnings = 30 * $11

Weekly Earnings = $330

This is represented by

hours worked; amount of money earned; 0 to 30; $0 to $330