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

Answer:

Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)

Part b) Domain $30\leq x\leq 35$

Part c) Range $\ 360\leq y\leq \ 420$

Step-by-step explanation:

Let

x------> the number of hours

y-----> total paid

The linear equation that represent this situation is

$y=12x$

so

Part a)

The independent quantity is the variable x (the number of hours)

The dependent quantity is the variable y (total paid)

Part b) Find the domain

The domain is the interval--------> $[30,35]$

All real numbers greater than or equal to $30$ hours and less than or equal to $35$ hours

$30\leq x\leq 35$

Part c) Find the range

For $x=30$

find the value of y

$y=12(30)=\ 360$

For $x=35$

find the value of y

$y=12(35)=\ 420$

The range is the interval-------> $[\ 360,\ 420]$

All real numbers greater than or equal to $\ 360$ and less than or equal to $\ 420$

$\ 360\leq y\leq \ 420$

Answer 2

The independent quantity is her pay and the dependent quantity is the hours she works in a week.
I believe the range would be 30 to 35 hours and the domain would be $360 to $450.