Three times the sum of half Carlita’s age and 3 is at least 12. What values represent Carlita’s possible age?
A.

Carlita can only be 2 years old.
B.
Carlita can only be older than 2 years old.
C.

Carlita is at least 2 years old.
D.

Carlita is younger than 2 years old.​

Respuesta :

Answer:

Carlita can only be older than 2 years old.

Step-by-step explanation:

To solve the problem we will convert the given statement into expression.

Expression

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

The correct option is C.

Explanation

Given information,

Three times the sum of half Carlita’s age and 3 is at least 12.

Assumption

Assuming the value of Carlita's age as x.

Solution

writing the statement given to us,

[tex]3\times (\dfrac{1}{2} x+3) = 12\\\\(\dfrac{1}{2} x+3) = 4\\\\(\dfrac{1}{2} x)=4-3\\x=2[/tex]

As seen above for "three times the sum of half Carlita’s age and 3 is at least 12" the value of x comes out to be 2, which means Carlita can be 2 years or older than that.

In this case, option c seems to be the most accurate one.

Hence, the correct option is C.

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