Question

in 1950, the U.S. federal budget was $39.4 billion, in 2000, the federal budget was $2025.2 billion. The exponential function is f=39.4Be^0.0787932i. Use your function to estimate the budget in 2010

Answer 1

The budget in 2010 is $4453.10915 billion

Explanation:

We are given exponential function as

`f(t)=39.4e^(0.0787932t)`

where t is the time in years since 1950

now, we can find time in 2010

t=2010-1950=60

now, we can plug t=60

and we get

`f(60)=39.4e^(0.0787932* 60)`

we get

`f(60)=4453.10915`

So, the budget in 2010 is $4453.10915 billion