Unit D: Graphing

Practice

Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You will learn the material more thoroughly if you complete the questions before checking the answers.

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Practice
Solutions

Create a table of values for the equation y = 1.1x and draw the graph.
Create a table of values for the equation y = 5x – 1 and draw the graph.

Question 1

Create a table of values for the equation y = 1.1x and draw the graph.

Solution

Substitute each value of x into the equation to find each y.

x	y
0	0
1	1.1
2	2.2
3	3.3

Since it is not indicated that the points are discrete, the points should be connected. This set of data points demonstrates direct variation since the equation is in the form y = mx.

The graph of equation y = 1.1x is

Question 2

Create a table of values for the equation y = 5x – 1 and draw the graph.

Solution

Substitute each value of x into the equation to find each y.

x	y	y = 5x – 1
0	–1	$\begin{array}{rcl} y & = & 5 (0) - 1 \\ = & - 1 \end{array}$
1	4	$\begin{array}{rcl} y & = & 5 (1) - 1 \\ = & 4 \end{array}$
2	9	$\begin{array}{rcl} y & = & 5 (2) - 1 \\ = & 9 \end{array}$
3	14	$\begin{array}{rcl} y & = & 5 (3) - 1 \\ = & 14 \end{array}$

This set of data points demonstrates partial variation since the equation is in the form y = mx + b.

The graph of equation y = 5x – 1 is

Note: The y-intercept is negative, so it is below the point (0, 0).