Answered

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a once-popular children's doll is slowly declining in popularity. the quartic function f(x)-0.002x^4 0.025x^3-0.364x^2-7.243x 86.993, where x is the number of years from 1993 to 2003. Estimate the number of dolls of this type that were sold (in thousands) during a given year from 1993 to 2003. Estimate how many dolls were sold in 2001.

Sagot :

Answer:

10,361 dolls were sold in 2001.

Step-by-step explanation:

Number of dolls sold in x years after 1993:

The number of dolls sold in x years after 1993 is given by:

[tex]f(x) = -0.002x^4 - 0.025x^3 - 0.364x^2 - 7.243x + 86.993[/tex]

Estimate how many dolls were sold in 2001.

2001 is 2001 - 1993 = 8 years after 1993, so this is f(8).

[tex]f(8) = -0.002*8^4 + 0.025*8^3 - 0.364*8^2 - 7.243*8 + 86.993 = 10.361[/tex]

10,361 dolls were sold in 2001.

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