Let's break down the information given in the problem step by step.
1. We know that a T-shirt costs 4 times as much as a pair of socks.
2. The cost of a T-shirt is [tex]$16.
Let's define the cost of a pair of socks as \( s \).
Since the T-shirt costs 4 times as much as the socks, we can express this relationship mathematically as:
\[ \text{Cost of T-shirt} = 4 \times \text{Cost of socks} \]
Given that the cost of the T-shirt is $[/tex]16, we can write:
[tex]\[ 16 = 4 \times s \][/tex]
This can be reformulated to:
[tex]\[ 4s = 16 \][/tex]
Therefore, the correct mathematical sentence that expresses the relationship given in the problem is:
[tex]\[ 4s = 16 \][/tex]
So the correct option is:
C. [tex]\( 4s = 16 \)[/tex]
