(a)
To identify: Independent and dependent variables
(a)
Answer to Problem 26CCSR
Independent variable: Number of loads of laundry
Dependent variable: Gallons of water used
Explanation of Solution
Given information:
For every load of laundry, washing machine uses an average of 41 gallons of water
Definition:
Independent variable is a variable the controller changes and dependent variable is a variable that is affected by the changes in independent variable.
For every loads of laundry, 41 gallons of water is used. Usage of water depends on the number of loads of laundry. So, independent variable is the number of loads of laundry.
Amount of water used depends on the loads. So dependent variable is the amount of water used
Independent variable: Number of loads of laundry
Dependent variable: Gallons of water used
(b)
To write: A function rule to represent the given situation
(b)
Answer to Problem 26CCSR
Explanation of Solution
Given information:
For every load of laundry, washing machine uses an average of 41 gallons of water
Calculation:
The amount of water used is directly proportional to the number of loads of laundry. So we apply function rule
Let ‘n’ represents the number of loads and f(n ) represents the gallons of water
Slope m is the average gallons of water used.
(c )
To calculate: The number of loads of laundry you wash when 533 gallons of water is used
(c )
Answer to Problem 26CCSR
13 loads
Explanation of Solution
Given information: 533 gallons of water is used. We know the function rule
where ‘n’ represents the number of loads and f(n ) represents the gallons of water
Calculation: Substitute 533 for f(n) and solve for n
So, 13 loads of laundry washed using 533 gallons of water
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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