Question

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 1

Answer:

27 miles.

Step-by-step explanation:

The distance between two points ($x_{1},y_{1}$) and ($x_{2},y_{2}$) on the coordinate plane are given by the formula

$\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

Therefore, the distance between points (12,6) and (12,15) is $\sqrt{(12 - 12)^{2} + (15 - 6)^{2}} = 9$ units

Again, the distance between the points (12,15) and (4,0) is $\sqrt{(4 - 12)^{2} + (0 - 15)^{2}} = 17$ units

And the dictance between the points (4,0) and (12,6) is $\sqrt{(12 - 4)^{2} + (6 - 0)^{2}} = 10$ 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)