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The birth rate in a certain country in 1996 was 14.4 births per thousand population. In 2006, the birth rate was 14.05 births per thousand. a. Let x represent years after 1996 and y represent the birth rate. Assume that the relationship between x and y is linear over this period. Write a linear equation that relates y in terms of x. b. Use the linear equation from part (a) to estimate the birth rate in this country in the year 2016 a. Determine the equation describing the linear relationship. y = -0.035x times 14.4 (Simplify your answer. Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression.) b. Use the equation from part (a) to determine the birth rate in the year 2016. 13.70 births per thousand population. (Simplify your answer. Type an integer or a decimal.)