Using proportions, it is found that the coordinates of point B are given by:
C. (3.25, 2.75)
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
AB and BC form a 1:3 ratio, hence:
[tex]B - A = \frac{1}{4}(C - A)[/tex]
Considering the x-coordinates, we have that:
[tex]x - 4 = \frac{1}{4}(1 - 4)[/tex]
x - 4 = -0.75
x = 3.25.
For the y-coordinates, we have that:
[tex]y - 2 = \frac{1}{4}(5 - 2)[/tex]
y - 2 = 0.75
y = 2.75.
Hence option C is correct.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
