Graph Dependent and Independent Variable

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

• the independent variable is distance

• the independent variable is d=25 t

• the dependent variable is time

• the dependent variable is distance

On a graph, which axis shows the dependent variable?

• x-axis

• y-axis

• neither

• it changes

On a graph, which axis shows the independent variable?

• x-axis

• y-axis

• neither

• it changes

The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?

• The dependent variable is total cost

• The dependent variable is weight

• The independent variable is total cost

• The independent variable is cost of a package

The time spent working is the independent quantity.

• True

• False

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.

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

• 5 seconds

• Equation

• 8 m/s

• Independent Variable y

• y = 4x

• Dependent Variable x

• Velocity in m/s

• Velocity after 2 minutes

• Time in seconds

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

Ms. Shi 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

The height of bean plants depends on the amount of water they receive.

• The bean seed

• The amount of water provided daily

• The amount of sunlight they're exposed to daily

• How tall they grow by the end of the experiment

Name the INDEPENDENT variable from the table below.

• words

• minutes