SOLUTION SOFTBALL EXAMPLE 4 Find the zero of a function Look back at Example 3. Find the zero of the function. Explain what the zero means in this situation.

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SOLUTION SOFTBALL EXAMPLE 4 Find the zero of a function Look back at Example 3. Find the zero of the function. Explain what the zero means in this situation. Substitute 0 for y in the equation of the best-fitting line and solve for x. y = –0.02x Write the equation. 0 = –0.02x Substitute 0 for y. x 72 Solve for x.

EXAMPLE 4 Find the zero of a function ANSWER The zero of the function is about 72. The function has a negative slope, which means that the number of youth softball participants is decreasing. According to the model, there will be no youth softball participants 72 years after 1997, or in 2069.

GUIDED PRACTICE for Example 4 JET BOATS The number y (in thousands) of jet boats purchased in the U.S. can be modeled by the function y = –1.23x + 14 where x is the number of years since Find the zero of the function. Explain what the zero means in this situation. 3. ANSWER 11.4; the function has a negative slope, which means that the number of jet boats purchased in the U.S. is decreasing. According to the model, there will be no jet boats purchased 11.4 years after 1995, or in 2006.