The coordinates (12,6), (12,15), (4,0) represent the locations of his stops respectfully on a city map. If each unit on the coordinate plane represents 0.75 miles, how far did tony ride on the city bus?

Answer:27 miles. Step-by-step explanation:The distance between two points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) on the coordinate plane are given by the formula [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}  }[/tex] Therefore, the distance between points (12,6) and (12,15) is [tex]\sqrt{(12 - 12)^{2} + (15 - 6)^{2}} = 9[/tex] units Again, the distance between the points (12,15) and (4,0) is [tex]\sqrt{(4 - 12)^{2} + (0 - 15)^{2}} = 17[/tex] units And the dictance between the points (4,0) and (12,6) is [tex]\sqrt{(12 - 4)^{2} + (6 - 0)^{2}} = 10[/tex] units Therefore, the total distance is (9 + 17 + 10) = 36 units. If each unit on the coordinate plane represents 0.75 miles, then Tony rides on the city bus by (36 × 0.75) =27 miles. (Answer)