The table gives the midyear population P of Trinidad and Tobago, in thousands, from 1970 to 2015.

(a) Make a scatter plot of these data. Choose t − 0 to correspond to the year 1970.

(b) From the scatter plot, it appears that a logistic model might be appropriate if we first shift the data points downward (so that the initial P-values are closer to 0). Subtract 900 from each value of P. Then use a calculator or computer to obtain a logistic model for the shifted data.

(c) Add 900 to your model from part (b) to obtain a shifted logistic model for the original data. Graph the model with the data points from part (a) and comment on the accuracy of the model.

(d) If the model remains accurate, what do you predict for the future population of Trinidad and Tobago?

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Population (thousands) Population (thousands) Year Year 1970 955 1995 1264 1975 1007 2000 1252 1980 1091 2005 1237 1985 1189 2010 1227 1990 1255 2015 1222