I am confused with this problem could someone please explain?
Taxicab Distances Problem. Imagine that the grid lines on a coordinate grid are streets and that the distance between two points must be measured by the number of "blocks" a taxicab would have to travel horizontally and vertically to get from one point to the other. The sum of the horizontal and vertical distance is called the taxicab distance. A cab driver estimates that traveling one block during rush hour takes about 5 minutes. What general rule can you use to find the taxicab distance between two points on a grid?
Thanks for the help.
Divide the rush hour driving time in minutes by 5. That will give you the number of blocks (the "taxicab distance")
That helped, Thanks!
To find the taxicab distance between two points on a grid, you can use the following general rule:
1. Identify the coordinates of the two points on the grid. Let's call the coordinates of the first point (x1, y1) and the coordinates of the second point (x2, y2).
2. Determine the horizontal and vertical distances between the two points. The horizontal distance is the absolute difference between the x-coordinates, |x2 - x1|, and the vertical distance is the absolute difference between the y-coordinates, |y2 - y1|.
3. Add the horizontal and vertical distances together. This will give you the taxicab distance.
For example, let's say the first point has coordinates (3, 4) and the second point has coordinates (7, 9):
Horizontal distance = |7 - 3| = 4
Vertical distance = |9 - 4| = 5
Taxicab distance = 4 + 5 = 9
So, the taxicab distance between the two points is 9.
Please note that the given information about the time a cab takes to travel one block during rush hour is not necessary for finding the taxicab distance. It is just provided as additional context in the problem.