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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.

Verified Answer :

MartynBH

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.

calculista

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 \(\$420\)

\(\$360\leq y\leq \$420\)

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