Concept explainers
The table shows the values for the current, l, in an electric circuit and the resistance, R, of the circuit.
l (amperes) | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 | 4.0 | 5.0 |
R (ohms) | 12.0 | 6.0 | 4.0 | 3.0 | 2.4 | 2.0 | 1.5 | 1.2 |
a. Graph the ordered pairs in the table of values, with values of I along the x-axis and values of R along the y-axis. Connect the eight points with a smooth curve.
b. Does current vary directly or inversely as resistance? Use your graph and explain how you arrived at your answer.
c. Write an equation of variation for I and R, using one of the ordered pairs in the table to find the constant of variation. Then use your variation equation to verify the other seven ordered pairs in the table.
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College Algebra with Integrated Review, Books a la Carte Edition, plus MyLab Math with Pearson eText -- Title-Specific Access Card Package (7th Edition)
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