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43 votes
43 votes
7.

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.


A. weekly pay; hours worked; $360 to $420; 30 to 35 hours

B. hours worked; weekly pay; 30 to 35 hours; $360 to $420

C. weekly pay; hours worked; 30 to 35 hours; $360 to $420

D. hours worked; weekly pay; 30 to 35 hours; $0 to $420

User Msmkt
by
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1 Answer

10 votes
10 votes

Answer: I'm gonna go with B. hours worked; weekly pay; 30 to 35 hours; $360 to $420, because I had something similar to this

Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

weekly pay; hours worked; 20 to 25 hours; $180 to $225

hours worked; weekly pay; 20 to 25 hours; $180 to $225

weekly pay; hours worked; $180 to $225; 20 to 25 hours

hours worked; weekly pay; 20 to 25 hours; $9 to $225

Explanation:

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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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

Part c) Range

Step-by-step explanation:

Let

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

y-----> total paid

The linear equation that represent this situation is

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-------->

All real numbers greater than or equal to hours and less than or equal to hours

Part c) Find the range

For

find the value of y

For

find the value of y

The range is the interval------->

All real numbers greater than or equal to and less than or equal to

...............................................................................................................................................

The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.

The $12 per hour would become $360/week to $420/week.

The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.

The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.

...............................................................................................................................................

User Manolito
by
3.0k points