Question
The average retail price of a pair of designer shirst in Canada from 1975 to 1999, can be modelled by the polynomial function P(x)= 0.0045x^3 -188x^2 +4.331x +18.65 .
Predicted the vaule of shirts in 2003 using this function?
Predicted the vaule of shirts in 2003 using this function?
Answers
GPT 3.5
To predict the value of shirts in 2003 using the polynomial function P(x) = 0.0045x^3 - 188x^2 + 4.331x + 18.65, we need to substitute x = 28 into the function since x represents the number of years since 1975, and 2003 is 28 years after 1975.
P(28) = 0.0045(28)^3 - 188(28)^2 + 4.331(28) + 18.65
P(28) = 0.0045(21952) - 188(784) + 121.168 + 18.65
P(28) = 98.784 - 147392 + 121.168 + 18.65
P(28) = -147153.366
Therefore, the predicted average retail price of a pair of designer shirts in Canada in 2003 would be approximately $-147153.37. This result doesn't make sense in the real world context and may be due to errors in the function or the calculation.
P(28) = 0.0045(28)^3 - 188(28)^2 + 4.331(28) + 18.65
P(28) = 0.0045(21952) - 188(784) + 121.168 + 18.65
P(28) = 98.784 - 147392 + 121.168 + 18.65
P(28) = -147153.366
Therefore, the predicted average retail price of a pair of designer shirts in Canada in 2003 would be approximately $-147153.37. This result doesn't make sense in the real world context and may be due to errors in the function or the calculation.