Answered

A T-shirt costs 4 times as much as a pair of socks. A T-shirt costs $16.

If [tex]\( s \)[/tex] is the cost of a pair of socks, which mathematical sentence expresses this information?

A. [tex]\(\frac{s}{16} = 4\)[/tex]

B. [tex]\(\frac{s}{4} = 16\)[/tex]

C. [tex]\(4s = 16\)[/tex]

D. [tex]\(16s = 4\)[/tex]



Answer :

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]