Question

this model represents the expression $c + c + c + 1 + 1$.
which expression is equivalent to $c + c + c + 1 + 1$?
$3c + 2$
$2c + 3$
$5c$
$5 + c$

Explanation:

Step1: Combine like terms for \( c \)

There are three \( c \) terms: \( c + c + c \). Using the concept of combining like terms (adding the coefficients), the coefficient of \( c \) is \( 1 + 1 + 1 = 3 \), so \( c + c + c = 3c \).

Step2: Combine like terms for constants

There are two \( 1 \) terms: \( 1 + 1 \). Adding these gives \( 1 + 1 = 2 \).

Step3: Combine the results

Combining the results from Step1 and Step2, we get \( 3c + 2 \).

Answer:

\( 3c + 2 \)