Question

question 9 of 10
what is the location of the point on the number line that is \\(\frac{1}{4}\\) of the way from \\(a = 37\\) to \\(b = 13\\)?

a. 28
b. 31
c. 19
d. 25

Explanation:

Step1: Find the distance between A and B

The distance between \( A = 37 \) and \( B = 13 \) is \( |37 - 13| = 24 \).

Step2: Find \( \frac{1}{4} \) of the distance

\( \frac{1}{4} \) of 24 is \( \frac{1}{4} \times 24 = 6 \).

Step3: Move from A towards B by this distance

Since we are moving from \( A = 37 \) to \( B = 13 \) (which is to the left), we subtract the distance: \( 37 - 6 = 31 \).

Answer:

B. 31