Am not good with story prombles could someone please help. Can you show me how to come up with answer so that I understand it.

The bith rate in the United states in 1996 was 14.7 births per thousand population. In 2006, the birth rate was 14.14 births per thousand.

A.Write two order pairs of the form (year after 1996, bith rate per thousand population)
Think the order pair is (1996,14.7),(2006,14.14)

B. Assume that the relationship between years after 1996 and bith rate per thousand is linear over this period. Use the order pairs from part (a) to write an equation of the line rating years to birth rate.

C. Use the linear equation from part(b) to estimate the birth rate in United States in year 2016

1 answer

A) correct
B) slope = (14.14-14.7)/(2006-1996) = -.56/10
= -.056

y = -.056t + b, where t is the year
use 1st pair (1996,14.7)
14.7 = -.056(1996) + b
b = 126.476

y = -.056t + 126.476

C) plug in t = 2016 to get y
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