**Trend Equation for Annual Sales of Production**

To determine the trend equation for the annual sale of production, we are given the equation y = 120 + 36x, where x represents the number of years since 1990 and y represents the annual sales.

In this equation, the constant term 120 represents the initial annual sales in the year 1990, while the coefficient of x, 36, represents the rate of change in the annual sales per year.

To find the annual sales for the year 1992, we need to substitute x = 2 into the equation and solve for y.

**Calculation:**

Given equation: y = 120 + 36x

Substituting x = 2 into the equation:

y = 120 + 36(2)
= 120 + 72
= 192

Therefore, the annual sales for the year 1992 will be 192.

**Explanation:**

The trend equation y = 120 + 36x represents a linear relationship between the number of years since 1990 (x) and the annual sales (y).

The constant term 120 represents the initial sales in the year 1990, and the coefficient of x, 36, represents the rate at which the annual sales increase each year.

- The constant term of 120 indicates that the initial annual sales in the year 1990 were 120 units.
- The coefficient of 36 indicates that the annual sales increase by 36 units per year.

By substituting x = 2 into the equation, we find that the annual sales for the year 1992 will be 192 units. This calculation is based on the assumption that the linear trend represented by the equation remains consistent over the given time period.

It is important to note that this trend equation assumes a linear relationship between the number of years and the annual sales. If there are any external factors or influences that may affect the sales, such as changes in the market, competition, or consumer behavior, the actual sales may deviate from the predicted values obtained from the trend equation.

Overall, the trend equation provides a mathematical model to estimate and analyze the annual sales of production based on the given data and assumptions.