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The property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 
4.5%, and for every 10 miles from the school, property taxes decrease by 0.5 percentage points. If a house's property taxes are 
3%, what is the distance of that house from the school?
Choose 1 answer:
(A) 
10 miles
(B) 20 miles
(c) 30 miles
(D) 40 miles

The property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 4.5% 4.5 \% , and for every 1010 miles from the school, property taxes decrease by 00.55 percentage points. If a house's property taxes are 3% 3 \% , what is the distance of that house from the school?\newlineChoose 11 answer:\newline(A) 10 \mathbf{1 0} miles\newline(B) 2020 miles\newline(C) 3030 miles\newline(D) 4040 miles

Full solution

Q. The property taxes in a town decrease as the distance from the local elementary school increases. The greatest property taxes are 4.5% 4.5 \% , and for every 1010 miles from the school, property taxes decrease by 00.55 percentage points. If a house's property taxes are 3% 3 \% , what is the distance of that house from the school?\newlineChoose 11 answer:\newline(A) 10 \mathbf{1 0} miles\newline(B) 2020 miles\newline(C) 3030 miles\newline(D) 4040 miles
  1. Property Tax Rate Explanation: The highest property tax rate is 4.5%4.5\%. For every 1010 miles from the school, the tax rate decreases by 0.5%0.5\%.
  2. House's Tax Rate: The house's property tax rate is 3%3\%, which is 1.5%1.5\% less than the highest rate of 4.5%4.5\%.
  3. Calculation of Decreases: To find out how many 0.5%0.5\% decreases there are in 1.5%1.5\%, we divide 1.5%1.5\% by 0.5%0.5\%.\newlineCalculation: 1.5%/0.5%=31.5\% / 0.5\% = 3
  4. Distance Calculation: Each 0.5%0.5\% decrease represents a distance of 1010 miles from the school.
  5. Total Distance: To find the total distance, we multiply the number of decreases by 1010 miles.\newlineCalculation: 3×103 \times 10 miles = 3030 miles

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