Question

Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

Answer 1

dependent quantity is 12 per hr and the independent quantity would be between 30 and 35 per week (the hrs worked).

domain (all x values) = 31,32,33,34
range (all y values) = 372,384,396,408

Answer 2

Independent quantity = Number of hours

Dependent quantity = Wendy's salary

Domain = [30,35]

Range = [360,420]

Explanation:

Dependent variable: If the value of one variable is dependent on another variable, then it is called dependent variable.

Independent variable: If the value of one variable is not dependent on another variable, then it is called independent variable.

It is given that Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week.

In this case Wendy's salary is dependent on number of working hours. So, number of hours is independent and Wendy's salary is dependent quantity.

Let y be the total earning of Wendy in x hours.

Wendy is paid $12 per hour. So the Wendy's salary is defined by the equation

`y=12x`

Domain is the set of inputs or x values.

Range is the set of outputs or y-values.

She plans to work between 30 and 35 hours per week. So, the reasonable domain is

Domain = 30 ≤ x ≤ 35 = [30,35]

At x=30,

`y=12(30)=360`

At x=35,

`y=12(35)=420`

So, the reasonable Range is

Range = 360 ≤ y ≤ 420 = [360,420]