Write an expression that is equivalent to (5z+ 16). (4 points) A. 3/4 z + 12 B. 15/4 z + 16 C. 3/4 z + 16 D. 15/4 z + 12

The correct expression given is:
[tex] \frac{3}{4} (5z + 16)[/tex]

Answer:
option D is the correct one

Explanation:
We will start by simplifying the given expression as follows:
[tex] \frac{3}{4} (5z + 16)[/tex]

We will use the distributive property to get rid of the brackets as follows:
[tex] \frac{3}{4} * 5z + \frac{3}{4} * 16[/tex]

We will now compute the multiplication, this will give us:
[tex] \frac{3*5z}{4} + \frac{3*16}{4} \\ \frac{15z}{4} + 12[/tex]

This is the simplest form of our expression.
Comparing this with the choices, we will find that the correct choice is D

Hope this helps :)