Question

The amount y (in billions of dollars) of income taken in by a certain country's social security administration for old-age and survivor's insurance in year x can be approximated by the equation below. 111.7(x - 2010) = 7y - 3742.22 Assuming the trend continues, find the year in which 773.96 billion dollars will be taken in. What is the value of y? y=1 (Type an integer or a decimal. Do not include the $ symbol in your answer.)

Answer 1

Ans:

Given equation is
111.7(x-2010)=7y-3742.22 ------(1)
Also X is the year
Y is the amount(In Billion Dollars)
So given Y=773.96 billion dollars and

X=?
Substituting Y=773.96 in eq (1)
we get

111.7(x-2010)=7X(773.96)-3742.22
111.7(x-2010)=5417.72-3742.22
111.7(x-2010)=1675.5
x-2010=1675.5/111.7
x-2010=15
x=15+2010
=2025

this year in which 773.96 billion dollars will be taken is x=2025 and also y=773.96 billion dollars