Question

the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousand. let x represent years after 1994 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

Answer 1

Answer:

$y(x)=-0.028x+14.6$

Step-by-step explanation:

Birth Rate in 1994 =  14.6 births per thousand population.

Birth Rate in 2004 =  14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

• x=years after 1994
• y=the birth rate
• m=Yearly Birth Rate

First, we determine the birth rate per year

$m=\dfrac{14.32-14.6}{10-0}\\=\dfrac{-0.28}{10}\\m=-0.028$

Therefore, a linear equation that relates y in terms of x is of the form:

$y(x)=-0.028x+c$

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

$y(x)=-0.028x+14.6$