Question

After a dilation with a center of (0, 0), a point was mapped as (1, 4) → (4, y). A student determined y to be 16. Evaluate the student's answer.

A.
The student is correct.
B.
The student incorrectly calculated the scale factor to be 4.
C.
The student incorrectly multiplied by the scale factor instead of adding it.
D.
The student incorrectly added the scale factor instead of multiplying by it.

Answer 1

a dilation with center of (0,0) is a mapping such that given point (a,b)
(a,b) -> (k*a, k*b)

Does your mapping or rule satisfy this?
(1,4) -> ( 4, 16)

looks that way

(1,4) -> (4*1 , 4*4 ) , here k = 4