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

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.

Answer 2

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`

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`