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?
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.