Sales of SUVs (sport utility vehicles) in the United States (in millions) for the years 1990-1999 can be modeled by the quadratic equation shown below.

y = 0.016x^2 + 0.124x + 0.787

Here x=0 represents 1990, x=1 represents 1991, and so on. Use the model to approximate sales in 1998.

Sales in 1998 were approximately __ million SUVs.

Question

Natalia Freeman

Mathematics

2 July, 03:44

Sales of SUVs (sport utility vehicles) in the United States (in millions) for the years 1990-1999 can be modeled by the quadratic equation shown below.

y = 0.016x^2 + 0.124x + 0.787

Here x=0 represents 1990, x=1 represents 1991, and so on. Use the model to approximate sales in 1998.

Sales in 1998 were approximately __ million SUVs.

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Answers (1)

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Mollie · Answer 1

If x = 0 is 1990, x = 1 is 1991, then 1998 is represented by x = 8. Substitute this value of x into the quadratic equation to find y:

y = 0.016 * (8^2) + 0.124*8 + 0.787 = 1.024 + 0.992 + 0.787 = 2.803

Therefore, there were approximately 2.803 million SUVs sold in 1998.