Question

Model the following situation with an equation or inequality statement.

The product of negative three and a number is equal to the sum of the number and four.
A. -3x = x + 4
B. -3x > x + 4
C. -3x < x + 4
D. -3x + 4 = x

Answer 1

The correct equation to model the given situation is -3x = x + 4, which corresponds to option A.

Step-by-step explanation:

The situation described can be modeled as an equation. When it states that the product of negative three and a number is equal to the sum of the number and four, we can translate this into mathematical terms using a variable, commonly x, to represent the unknown number. The product of negative three and a number is represented as -3x, and the sum of the number and four is represented as x + 4. Therefore, the equation that models this situation is -3x = x + 4. This equation matches option A, meaning the correct choice is A. -3x = x + 4.