Answer:
[tex]A'(3,6)[/tex]
Step-by-step explanation:
The given coordinate is [tex]A(2,4)[/tex].
It's important to know that a dilation implies a bigger figure than the original. In this case, we have a factor of dilation of 1.5, which means each coordinate must be multiplied by it.
So, using the factor of dilation, we have
[tex]A(2,4) \implies A'(3,6)[/tex]
Because [tex]2 \times 1.5 = 3[/tex] and [tex]4 \times 1.5 = 6[/tex]
Therefore, the right answer is [tex]A'(3,6)[/tex]