The correct answer is: A. y = 3x - 2
The given data represents the relationship between a person's monthly salary, x, and the average balance in their savings account, y, in thousands. To determine which function represents the data, we need to analyze the relationship between the two variables.
From the given options, the most suitable function to represent the data is the linear function, which has the form y = mx + b, where m is the slope and b is the y-intercept.
To determine the function that best represents the data, we can use the given points to calculate the slope and the y-intercept. Let's use the points (2, 4) and (4, 10) from the table to calculate the slope:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (10 - 4) / (4 - 2)
Slope (m) = 6 / 2
Slope (m) = 3
Next, we can use the slope and one of the points to calculate the y-intercept. Let's use the point (2, 4):
4 = 3(2) + b
4 = 6 + b
b = 4 - 6
b = -2
Therefore, the function that best represents the data is:
y = 3x - 2
So, the correct answer is:
A. y = 3x - 2