Question

1. \\(3x + y = -5\\)
2. \\(3x + 2y = 6\\)
3. the current through a \\(0.5\\ \omega\\) resistor is given by \\(i = \frac{v}{0.5} = 2v\\), where \\(v\\) is the voltage in volts and \\(i\\) is in amps.

(a) create a table of \\(i\\)-values when \\(v\\) is \\(0, 2, 4, 6, 8\\), and \\(10\\).
(b) graph this linear equation.

1. the inductive reactance of a \\(0.1\text{ h}\\) coil is given by \\(x_l = 0.628f\\), where \\(f\\) is the frequency in hertz and \\(x_l\\) is in ohms.

(a) create a table of values for \\(x_l\\) with \\(f\\)-values of \\(0, 2, 4, 6, 8\\), and \\(10\\).
(b) graph this linear equation.

1. an electrical supply store needs to order some cfl lightbulbs. the cost, \\(c\\), in dollars, of the bulbs is \\(c = 6.50n + 8.76\\), where \\(n\\) is the number of bulbs purchased and \\(8.76\\) is the postage needed.

(a) create a table of values for \\(c\\) with \\(n\\)-values of \\(1, 2, 5\\), and \\(8\\).
(b) graph this linear equation.

Explanation:

Calculate values for Question 13

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Calculate values for Question 14

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Calculate values for Question 15

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Answer:

Question 13

(a) Table of values for \(I = 2V\):

\(V\) (volts)	\(I\) (amps)
2	4
4	8
6	12
8	16
10	20

(b) The graph is a straight line passing through the origin \((0,0)\) with a slope of 2.

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Question 14

(a) Table of values for \(X_L = 0.628f\):

\(f\) (hertz)	\(X_L\) (ohms)
2	1.256
4	2.512
6	3.768
8	5.024
10	6.28

(b) The graph is a straight line passing through the origin \((0,0)\) with a slope of 0.628.

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Question 15

(a) Table of values for \(C = 6.50n + 8.76\):

\(n\) (bulbs)	\(C\) (dollars)
2	21.76
5	41.26
8	60.76

(b) The graph is a straight line with a vertical intercept at \((0, 8.76)\) and a slope of 6.50.