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IdentifyingIndependentandDependentVariablesinMathSituations

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5.
A basketballIndependent
team played a total
of 154
games last season.
The number of games won, W,Name:
Identifying
and
Dependent
Variables
and the number of games lost, L, are represented by the equation W=154-L.
For each set of variables shown below, determine which is the independent variable and which is the
dependent variable. Write “I” by the independent and “D” by the dependent.
the number of minutes running
the amount of calories burned
the number of questions answered incorrectly
the grade made on a math test
the amount of money earned
the number of gallons of gas put in the car
the number of yards mowed
the number of miles the car is able to drive
the side length of a square
the perimeter of the square
Rewrite each situation showing dependency, and then identify the dependent and the independent variables.
1. A wheel barrow with several bricks weighs more than a wheel barrow with just a few bricks.
The
Dependent:
depends on
.
Independent:
2. The car wreck was very large, so many emergency workers were there.
The
Dependent:
depends on
.
Independent:
3. The temperature of the iced tea in the fridge dropped each minute.
The
Dependent:
depends on
.
Independent:
4. The bill at the bowling alley was high because several people attended the bowling party.
The
Dependent:
depends on
Independent:
.
5.
A basketballIndependent
team played a total
of 154
games last season.
The number of games won, W,Name:
Identifying
and
Dependent
Variables
and the number of games lost, L, are represented by the equation W=154-L.
For each set of variables shown below, determine which is the independent variable and which is the
What variable.
quantity Write
does the
independent
variable
represent?
dependent
“I” by
the independent
and “D”
by the dependent.
What quantity does the dependent variable represent?
6. A limo driver charges an initial fee of $150 plus $3.00 per mile driven. What is the independent
variable quantity in this situation?
a. The initial fee
b. The total cost charged by the limo driver c. The
cost per each mile driven
d. The number of miles driven
7. At Best Buy, all Samsung Galaxy cell phones are on sale for a discount of 25%. Which statement best
represents the functional relationship between the sale price of a cell phone and the original price?
a. The original price is dependent on the sale price
b. The sale price and the original price are both dependent on each other. c. There is not
enough information to determine the relationship.
d. The sale price is dependent on the original price.
8. The cost for renting a bounce house is a function of the number of hours of the rental.
In this situation, what is the dependent variable?
a. The function
b. The number of hours the bounce house is rented c. The cost
of the rental
d. The bounce house
9. The table below represents the relationship between the number of miles Maggie runs and the number of
calories she burns. What is the independent variable in this situation?
Miles run
Calories burned
3
105
4
210
5
315
6
420
7
525
10. The table below represents the relationship between the amount of Starbucks gift cards bought and the total
amount of money made by Starbucks. In this situation, what is the dependent variable?
Gift cards bought
Total money made
10
100
20
200
30
300
40
400
50
500
5.
A basketballIndependent
team played a total
of 154
games last season.
The number of games won, W,
Identifying
and
Dependent
Variables
ANSWER KEY
and the number of games lost, L, are represented by the equation W=154-L.
For each set of variables shown below, determine which is the independent variable and which is the
dependent variable. Write “I” by the independent and “D” by the dependent.
I
the number of minutes running
D
the grade made on a math test
D
the amount of money earned
I
the number of gallons of gas put in the car
I
I
the side length of a square
D
the amount of calories burned
the number of questions answered incorrectly
I
D
the number of yards mowed
the number of miles the car is able to drive
D
the perimeter of the square
Rewrite each situation showing dependency, and then identify the dependent and the independent variables.
1. A wheel barrow with several bricks weighs more than a wheel barrow with just a few bricks.
The weight of the wheel barrow depends on the number of bricks in the wheel barrow.
Dependent: the weight of the wheel barrow
Independent: the number of bricks
2. The car wreck was very large, so many emergency workers were there.
The number of emergency workers depends on the size of the car wreck.
Dependent: the number of emergency workers Independent: the size of the car wreck
3. The temperature of the iced tea in the fridge dropped each minute.
The temperature of the iced tea depends on the amount of time it is in the fridge.
Dependent: temperature of the iced tea Independent: the amount of time in the fridge
4. The bill at the bowling alley was high because several people attended the bowling party.
The price of the bowling alley bill depends on the number of people who attend.
Dependent: the price of the bill
Independent: the number of people who attend
5. A basketball team played a total of 154 games last season. The number of games won, W,
and the number of games lost, L, are represented by the equation W=154-L.
What quantity does the independent variable represent? the number of games lost
What quantity does the dependent variable represent? the number of games won
6. A limo driver charges an initial fee of $150 plus $3.00 per mile driven. What is the independent
variable quantity in this situation?
a. The initial fee
b. The total cost charged by the limo driver c. The
cost per each mile driven
d. The number of miles driven
7. At Best Buy, all Samsung Galaxy cell phones are on sale for a discount of 25%. Which statement best
represents the functional relationship between the sale price of a cell phone and the original price?
a. The original price is dependent on the sale price
b. The sale price and the original price are both dependent on each other. c. There is not
enough information to determine the relationship.
d. The sale price is dependent on the original price.
8. The cost for renting a bounce house is a function of the number of hours of the rental.
In this situation, what is the dependent variable?
a. The function
b. The number of hours the bounce house is rented c. The cost
of the rental
d. The bounce house
9. The table below represents the relationship between the number of miles Maggie runs and the number of
calories she burns. What is the independent variable in this situation? the number of miles run
Miles run
Calories burned
3
105
4
210
5
315
6
420
7
525
10. The table below represents the relationship between the amount of Starbucks gift cards bought and the total amount
of money made by Starbucks. In this situation, what is the dependent variable? the total amount of money made
Gift cards bought
Total money made
10
100
20
200
30
300
40
400
50
500