Applying the distributive property, it is found that the equivalent expression is:
- D. [tex]4a + 2b + \frac{c}{4}[/tex]
Expression
The expression given in this problem is:
[tex]\frac{1}{4}(16a + 8b + c)[/tex]
Distributive property:
Applying the distributive property, each term of the expression is multiplied by the term in front, which is [tex]\frac{1}{4}[/tex], hence:
[tex]\frac{1}{4}(16a + 8b + c) = \frac{16a}{4} + \frac{8b}{4} + \frac{c}{4} = 4a + 2b + \frac{c}{4}[/tex]
Hence, option D is correct.
To learn more about the distributive property, you can take a look at https://brainly.com/question/2416165
