Which expression represents the product of 3 and (5/4n + 1.8)?
A) 5.55n
B) 9.15n
C) 3.75n + 1.8
D) 3.75n + 5.4
Option D
[tex]\text{The product of 3 and } \frac{5}{4}n + 1.8 \text{ is } 3.75n + 5.4[/tex]
Given that we have to find product of 3 and [tex]\frac{5}{4}n + 1.8[/tex]
Product means multiplication
Hence we have to multiply 3 and [tex]\frac{5}{4}n + 1.8[/tex]
Product is given as:
[tex]\rightarrow 3 \times (\frac{5}{4}n + 1.8)[/tex]
Multiply 3 with terms inside the bracket
[tex]\rightarrow 3 \times \frac{5}{4}n+ 3 \times 1.8[/tex]
Simplify the above expression by reducing to lowest terms
[tex]\rightarrow \frac{15n}{4} + 5.4[/tex]
Express in decimal form
[tex]\rightarrow \frac{15n}{4} + 5.4 = 3.75n + 5.4[/tex]
Thus option D is correct
