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yKpoI14uk [10]
3 years ago
6

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 thousa

nd. 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
Mathematics
1 answer:
amm18123 years ago
4 0

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

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