Respuesta :
Answer: There will be 313600 population on beth's 16 birthday.
Step-by-step explanation:
Since we have given that
When Beth was born , the population of her has increased = 850 per year
Let the initial population be x
and let the number of year be n
So, our linear equation becomes,
[tex]x+850n[/tex]
On her 9th birthday,
The population becomes 307,650.
So, it becomes,
[tex]x+850\times 9=307650\\\\x+7650=307650\\\\x=307650-7650\\\\x=300000[/tex]
So, initial population becomes 300000.
Now, on 16th birthday,
[tex]x+850n\\\\300000+850\times 16=313600[/tex]
So, there will be 313600 population on beth's 16 birthday.
Answer:
Equation: x = 850y + 300,000
population on beth's 16th birthday: x= 313, 600
Step-by-step explanation:
If "x" is the population when beth has "y", then
x = 307,650 + 850(y-9)
The population in y years is 307,650 plus the number of years that has pased since she had 9 year: (y-9) multiplied by 850 wich is how much the population increases in a year.
We can simplify the problem eliminating the parenthesis:
x = 307,650 + 850y - 850*9
x = 850y + 300,000
Thus, for the 16th birthday
y= 16
x = 850(16) + 300,000
x= 313, 600
