Question

The gross federal debt y​ (in trillions of​ dollars) for a certain country in year x is approximated by the following​ equation, where x is the number of years after 2000. y =1.18x +1.58 In what year will the federal debt be $10.68 trillion?

Answer 1

Answer: 2008

Explanation:

Given : The gross federal debt y​ (in trillions of​ dollars) for a certain country in year x is approximated by the equation
`y =1.18x +1.58` , where x is the number of years after 2000.

To find the year in which the federal debt will be $10.68 trillion, we substitute y= 10.68 in the above equation , we get

`10.68 =1.18x +1.58\\\\\Rightarrow\ 1.18x=10.68-1.58\\\\\Rightarrow\ 1.18x =9.1\\\\\Rightarrow\ x=(9.1)/(1.18)=7.7118644067\approx8`

The required year will be = 2000+8=2008.

Hence, in 2008 the federal debt will be $10.68 trillion.