The average monthly benefit B for certain individuals is given by the equation B=18.75+585.72, where t is the number of years since 1990. In what year will the monthly benefit B exceed $1050? That is, solve B1050.

Question

The average monthly benefit B for certain individuals is given by the equation B=18.75+585.72, where t is the number of years since 1990. In what year will the monthly benefit B exceed $1050? That is, solve B>1050.

Steve · Answer

B=18.75+585.72 where is the t?

Babydoll2007 · Answer

t was not provided in the equation that's why I'm having such a hard time trying to solve the problem there is not even an example in my book

Steve · Answer

well, let's just assume that there is a t. After all, if there is none, the B is just a constant: 604.47

So, since polynomials are normally written in descending power order, I'd guess

B = 18.75t + 585.72

So, you want to solve

18.75t + 585.72 > 1050
18.75t > 464.28
t > 24.76

1990 + 24.76 will be in the year 2014