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EXAMPLE 5 Use a direct variation model a.a. Explain why C varies directly with s. b.b. Write a direct variation equation that relates s and C. ONLINE MUSIC.

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Presentation on theme: "EXAMPLE 5 Use a direct variation model a.a. Explain why C varies directly with s. b.b. Write a direct variation equation that relates s and C. ONLINE MUSIC."— Presentation transcript:

1 EXAMPLE 5 Use a direct variation model a.a. Explain why C varies directly with s. b.b. Write a direct variation equation that relates s and C. ONLINE MUSIC The table shows the cost C of downloading s songs at an Internet music site.

2 SOLUTION EXAMPLE 5 Use a direct variation model Because the ratios all equal 0.99, C varies directly with s. 2.97 3 = 4.95 5 6.93 7 == 0.99. C s To explain why C varies directly with s, compare the ratios for all data pairs (s, C ): a.a. b.b. A direct variation equation is C = 0.99s.

3 EXAMPLE 5 Find a rate of change GUIDED PRACTICE for Example 5 7. WHAT IF? In Example 5, suppose the website charges a total of $1.99 for the first 5 songs you download and $.99 for each song after the first 5. Is it reasonable to use a direct variation model for this situation? Explain. ANSWER No; the equation that models this situation does not have the form y = ax.

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