SOLUTION: Two proposed tax bills. The first states a homeowner will pay 1900$ plus 4% of their assessed homes value in taxes. The second bill proposes a 500$ payment and 9% of their homes v

Question 689918: Two proposed tax bills. The first states a homeowner will pay 1900$ plus 4% of their assessed homes value in taxes. The second bill proposes a 500$ payment and 9% of their homes value in taxes. What price range of the home assessment would make the first deal a better deal for the homeowner?
This is what I have came up with: 1900+0.04*x>500+0.09*x Then I should subtract 0.04x from both sides. Simplify it to 1900>500+0.05x. Then subtract 500 and simplify to get 1400>0.05x... then I divide by 0.05 to get 28000... is this right? A home greater than 28000 would be the best deal?
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Two proposed tax bills. The first states a homeowner will pay 1900$ plus 4% of their assessed homes value in taxes. The second bill proposes a 500$ payment and 9% of their homes value in taxes. What price range of the home assessment would make the first deal a better deal for the homeowner?
This is what I have came up with: 1900+0.04*x>500+0.09*x Then I should subtract 0.04x from both sides. Simplify it to 1900>500+0.05x. Then subtract 500 and simplify to get 1400>0.05x... then I divide by 0.05 to get 28000... is this right? A home greater than 28000 would be the best deal?

Let V be the value of the home

Then: 1,900 + .04V < 500 + .09V (Notice that the inequality is < instead of >)
.04V - .09V < 500 � 1,900
- .05V < - 1,400

V, or value > , or > $

Yes, the first tax deal would be better for homeowners with homes valued at a price higher than $28,000.
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