Which number line represents the solutions to x = 4^2?
When solving the equation x = 4^2, we are essentially looking for the value of x that makes the equation true. In this case, we need to determine which number line accurately displays the solution to this equation. The equation x = 4^2 can be simplified by evaluating the exponent 4^2, which is equal to 16. Therefore, the solution to the equation is x = 16. Now, let’s explore the different number lines and identify the one that represents this solution.
In order to find the correct number line, we must first understand the nature of the equation. The equation x = 4^2 is a simple algebraic expression, where x is the unknown variable and 4^2 is the exponentiation of 4 by itself. The exponentiation of a number by itself indicates that the number is multiplied by itself a certain number of times. In this case, 4 is multiplied by itself twice, resulting in 16.
Now, let’s examine the different number lines and determine which one represents the solution to x = 4^2.
1. Number Line A: This number line ranges from 0 to 10, with equal intervals between each number. However, the solution to x = 4^2 is 16, which is outside the range of this number line. Therefore, Number Line A does not represent the solution.
2. Number Line B: This number line ranges from 0 to 20, with equal intervals between each number. The solution to x = 4^2, which is 16, falls within the range of this number line. Therefore, Number Line B could potentially represent the solution.
3. Number Line C: This number line ranges from -10 to 10, with equal intervals between each number. Since the solution to x = 4^2 is positive and greater than 10, Number Line C does not represent the solution.
Based on our analysis, Number Line B is the most suitable option to represent the solution to x = 4^2. It includes the value 16 within its range, ensuring that the number line accurately displays the solution to the equation.
