Identify Independent and Dependent in Functions

Identify the Independent and Dependent Variables, then write a rule in function notation.
A baker spends $6 on ingredients for each cake he bakes.

• Ind: Cost
  Dep: Cakes
  f(c) = 6c

• Ind: Cakes
  Dep: Cost
  f(c) = c + 6

• Ind: Cost
  Dep: Cakes
  f(c) = c + 6

• Ind: Cakes
  Dep: Cost
  f(c) = 6c

Which variable is the DEpendent variable?

• x

• y

Choose the relationship that fits the table, graph, and mapping diagram.

• {(-1,0), (0,1), (2,1), (3,4)}

• {(-2,-1), (-1,1), (2,3), (3,4)}

• {(-4,5), (-2,3), (0,1), (2,-1)}

• {(-2,-1), (-1,0), (0,-1), (2,-1)}

What is another term for y-values?

• Independent Variable

• Dependent Variable

• A

• B

• C

• D

• time

• distance

• input

• output

• linear

• piecewise

• time

• distance

• input

• output

• linear

• piecewise

What is the independent variable of a  function? 

• the input 

• the output 

• the function notation 

Function d give the distance of an airplane from the terminal gate t minutes after leaving the gate. Distance is measured in meters. Here is a graph that represents D.

The independent variable in this function is ​ (a)   .

The dependent variable in this function is ​ (b)   ​ .

The independent variable is also known as the ​ (c)   .

The dependent variable is also known as the ​ (d)   .

​

• time

• distance

• input

• output

• linear

• piecewise

The sales tax rate at a clothing store is 8.75%. Sales tax on an item is a function of its price. Which of the following is the dependent quantity in this function?

• The sales tax rate on the item

• The item’s price

• The amount of sales tax on the item

• The item’s size