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.

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.

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calculista calculista · Answer 2 · 2019-01-13T22:27:20+01:00

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 [tex]30\leq x\leq 35[/tex]

Part c) Range [tex]\$360\leq y\leq \$420[/tex]

Step-by-step explanation:

Let

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

y-----> total paid

The linear equation that represent this situation is

[tex]y=12x[/tex]

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--------> [tex][30,35][/tex]

All real numbers greater than or equal to [tex]30[/tex] hours and less than or equal to [tex]35[/tex] hours

[tex]30\leq x\leq 35[/tex]

Part c) Find the range

For [tex]x=30[/tex]

find the value of y

[tex]y=12(30)=\$360[/tex]

For [tex]x=35[/tex]

find the value of y

[tex]y=12(35)=\$420[/tex]

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

All real numbers greater than or equal to [tex]\$360[/tex] and less than or equal to [tex]\$420[/tex]

[tex]\$360\leq y\leq \$420[/tex]