SOLUTION: The amount of federal aid in the billions of dollars given to state and local governments can be approximated by equations A= 19.2X+124.8. Where x is the number of years since 1990

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Question 885048: The amount of federal aid in the billions of dollars given to state and local governments can be approximated by equations A= 19.2X+124.8. Where x is the number of years since 1990. Use this equation to determine those years for which the amount of federal aid to state and local government will exceed 5666.4 billion
Answer by algebrapro18(249) About Me  (Show Source):
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So we want to know when the amount of federal aid to state and local government will exceed 5666.4 billion. That's the same as setting the given equation greater than 5666.4. We can then solve for x like it was a normal equation.

19.2X+124.8 > 5666.4 Subtract 124.8 from both sides to get all the numbers on the same side of the inequality.
19.2x > 5541.6 Divide both sides by 19.2 to get x by its self.
x > 288.6

So for any year after than 2279(1990+288.6 rounded to the nearest year) will have federal aid to state and local governments exceeding 5666.4 billion.