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Question

A​ once-popular children's doll is slowly declining inpopularity. The quartic function

f(x)=−0.025x4+0.561x3−3.617x2−1.219x+86.923,

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 2001. The number of dolls sold in 2001 was approximately nothing.

​(Round to the nearest​ thousand.)

Answer 1

Hi Bristan,

x is the number of years since 1993.

2001 - 1993 = 8

Thus x = 10 and we plug that into the equation we were given:

f(x)=−0.025x4+0.561x3−3.617x2−1.219x+86.923

f(8) = −0.025(8^4)+0.561(8^3)−3.617(8^2)−1.219(8)+86.923

f(8) = 30.515

So 30.515 * 1000 = 30,515 dolls were sold.

I hope this helps!