According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 49% of babies be born out of wedlock

2029

Step-by-step explanation:

We can write an equation:

0.28+0.006x=0.51

A few things explained:

The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28

0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock

0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.

We can solve the equation:

0.28+0.006x=0.51

0.006x=0.23

x=38.33

Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.

So, we add 39 years to 1990.

1990+39=2029

Hope this helps!

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

the answer is su.k.my? ? co.kc