Question

A​ once-popular children's doll is slowly declining in popularity. The quartic function f (x)equals negative 0.022 x Superscript 4 Baseline plus 0.457 x cubed minus 2.492 x squared minus 5.279 x plus 87.419 commaf(x)=−0.022x4+0.457x3−2.492x2−5.279x+87.419, where x is the number of years since​ 1993, can be used to 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 19941994.

Answer 1

Answer:

Approximately 80,083 dolls were sold in year 1994.

Step-by-step explanation:

We are given the following information in the question:

The function f(x) estimates the number of dolls that were sold in thousands during a given year from 1993 to 2003.

$f(x) = -0.022x^4 + 0.457x^3 -2.492x^2-5.279x+87.419$

where x is the number of years since​ 1993.

We have to estimate the number of dolls that were sold in 1994.

We put x = 1, as x  x is the number of years since​ 1993. Thus, it is 1 year for 1994 since 1993

Putting values, we get,

$f(1) = -0.022(1)^4 + 0.457(1)^3 -2.492(1)^2-5.279(1)+87.419 = 80.083$

Thus, approximately 80,083 dolls were sold in year 1994.