Question

You may have observed an inverse relationship between the length of the telescope and the Fov. That is, as the length of the barrel increases, the diameter of the FOV decreases. An algebraic model can be used to describe this relation: y= a/x

+b. Return to the Graphing Calculator and use this model to develop an equation to describe the (length, FOV) data. Save a snapshot of your graph for discussion. What equation best models the data?

Answer 1

The given equation, y = a/x + b, can be used to model the relationship between the length of the telescope barrel and the diameter of the Field of View (FOV). 'y' represents the FOV diameter, 'x' represents the length of the barrel, and 'a' and 'b' are constants.

Step-by-step explanation:

The equation provided, y = a/x + b, describes an inverse relationship between the length of the telescope barrel and the diameter of the Field of View (FOV). As the length of the barrel increases, the FOV diameter decreases. This equation allows us to model the relationship between the length and FOV data. In this equation, 'y' represents the FOV diameter, 'x' represents the length of the barrel, and 'a' and 'b' are constants. By analyzing the data graphically or numerically, you can determine the specific values for 'a' and 'b' that best fit the data.