Independent vs Dependent Variables Algebra Functions

Zach and his friends are at an arcade and are redeeming their tickets for prizes. The number of prizes they can get is calculated based on how many tickets they have won.

p = the number of prizes the friends can get

t = the number of tickets the friends have won

• t is the independent variable and p is the dependent variable

• p is the independent variable and t is the dependent variable

While on vacation, Heather plans to write some postcards to her friends. The number of postcards she can send depends on how many stamps she has. p = the number of postcards Heather can send s = the number of stamps Heather has

• p is the independent variable and s is the dependent

• s is the independent variable and p is the dependent

The students at Middletown High School are collecting food for a local food bank. The number of trucks needed to deliver the food to the food bank will depend on the amount of food collected.

t = the number of trucks needed to deliver the food

f = the amount of food collected

• t is the independent variable and f is the dependent variable

• f is the independent variable and t is the dependent variable

Kimi is making a scrapbook. As she adds more photos, the scrapbook grows thicker.
p = the number of photos added
t = the thickness of the scrapbook

• t is the independent variable and p is the dependent variable

• p is the independent variable and t is the dependent variable

Match the following using the given graph of a two-variable equation.

• Time in seconds

• Time it takes to reach a velocity of 20 m/s

• y = 4x

• Velocity after 2 minutes

• Velocity in m/s

• Equation

• 5 seconds

• Dependent Variable x

• 8 m/s

• Independent Variable y

Ordered Pair - A set of ​ (a)   numbers, with the ​ (b)   (independent variable) listed ​ (c)   , and the ​ (d)   (dependent variable) listed ​ (e)   .

• two

• x-coordinate

• first

• y-coordinate

• second

The formula shows that c, the total cost of buying pizzas at Martin's Food Market, depends on p, the number of pizzas ordered.

c = 9p + 2

What is the independent variable?

• c

• p

• 9

• 2

Allen is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Allen will purchase. y = Allen's grandmother's age, in years b = how many boxes of candles Allen will purchase.

• b is the independent variable and y is the dependent variable

• y is the independent variable and b is the dependent variable

Belle manages the Hancock Orchard, which produces many different types of fruit, including pears. The more pear trees that have been planted in the orchard, the more barrels of pears the orchard will produce.

p = the number of pear trees that have been planted in the orchard
b = the number of barrels of pears the orchard will produce

• p is the independent variable and b is the dependent

• b is the independent variable and p is the dependent

Dan is wrapping gifts to earn money for camp. He calculates the amount of wrapping paper he needs based on the number of gifts.

r = the number of rolls of wrapping paper

g = the number of gifts

• g is the independent variable and r is the dependent variable

• r is the independent variable and g is the dependent variable