Question

On the number line above, points A, B, C, and D are integers, and AB: BC: CD = 3:2:1. What is the length of AC?

Answer 1

Using proportions, it is found that the length of AC is of 15 units.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The ratios in this problem are given as follows:

• $\frac{AB}{BC} = \frac{3}{2}$.

• $\frac{BC}{CD} = \frac{2}{1}$.

• $\frac{AB}{CD} = \frac{3}{1}$.

The entire length is of 18 units, AB is half of that, hence:

AB = 0.5 x 18 = 9 units.

BC is two thirds of the length from 6 to 15, hence:

BC = 2/3 x (15 - 6) = 6

Thus, the length of AC is:

AC = 9 + 6 = 15 units.

More can be learned about proportions at brainly.com/question/24372153

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