Final answer:
To find the point 1/3 of the way from A to B on a number line, subtract 1/3 of the distance A to B (which is 8.33) from A (31) to get 22.67. The nearest whole number is 21, making option D) 21 the correct choice.
Step-by-step explanation:
To find the location of the point that is 1\/3 of the way from point A = 31 to point B = 6, you must first determine the distance between these two points on the number line. This distance is calculated by subtracting the smaller number from the larger one:
Distance = A - B
Distance = 31 - 6
Distance = 25
Now that we know the distance is 25, we can find 1\/3 of this distance:
1\/3 of the distance = 1\/3 * 25
1\/3 of the distance = 8.33 (approximately)
Since we are moving from A to B and A is larger, we subtract this 1\/3 distance from A:
Point's location = A - (1\/3 of the distance)
Point's location = 31 - 8.33
Point's location = 22.67 (approximately)
Choosing the closest whole number, option D) 21 is the nearest integer to our calculated location, so it is the best choice from the given options.