Independent and Dependent Graphing

Select the rule/equation that best represent the table.

• y = 2x + 3

• y = x + 6

• y = -3x + 4

• y = 3x

Will practices at a batting cage. The table shows the total cost based on the number of tokens purchased. Which of the following is the independent variable in this situation?

• number of tokens

• total cost

• $7.00

In the table, the bubble machine can produce 12 giant bubbles in one minute. Bubbles is the ______________. (Hint: What is the input value and what is the output value?)

• independent variable

• dependent variable

On a graph, which axis typically shows the independent variable?

• x-axis

• y-axis

• neither

Choose the correct equation for the given graph.

• y = x + 2

• y = 4 + x

• y = x - 2

• y = 4 - x

Answer explanation

As we can see in the graph that the line is intersecting x axis at 2 and y axis at -2. So here we have got two points (2, 0) and (0, -2). Now let's substitute these points in y = x - 2 (2, 0) In LHS, y = 0 In RHS, x - 2 = 2 - 2 = 0 So, LHS = RHS (0, -2) In LHS, y = -2 In RHS, x - 2 = 0 -2 = -2 So, LHS = RHS Therefore, The graph in the figure is of the equation y = x - 2 and option 3 is the correct answer.

The time spent working is the independent quantity.

• True

• False

What is the independent variable on the graph?

• Number of Hours (h)

• Cost (c)

On a graph, which axis shows the dependent variable?

• x-axis

• y-axis

True or False:
The "Time" (hours) is a dependent variable. 

• False

• True

Which is the correct definition for an dependent variable?

• a variable that represents a quantity that is being manipulated in an experiment. 

• the numbers you get when you multiply a certain number by an integer.

• the one that depends on the value of some other number. 

• a number that multiplies with another number to make a third number