The table shows the horizontal distance (or the depth) and the vertical distance (or the distance across) of a small satellite dish. Using technology, create an equation to model the situation. In the equation, what is the value of k? Round to the nearest whole number.

To create an equation that models the relationship between the horizontal distance and the vertical distance of a small satellite dish, we need more information about the specific values in your table. However, in many cases when analyzing satellite dishes or similar structures, we might work with a parabolic equation of the form:

\[ y = k(x^2) \]

In this equation, \( k \) is a constant that determines the "width" and "direction" of the parabola.

To find the value of \( k \), you would typically use data points from your table. For example, if you had points from the table, you could plug in those points for \( x \) (the horizontal distance) and \( y \) (the vertical distance) to solve for \( k \).

Since the actual distances are not provided, I can't derive the value directly. Based on the options you've provided, it sounds like the values of \( k \) could potentially be any of those options based on the data.

If you have specific points, you can use them to solve for \( k \). If not, you might need to refer to the original table to determine which option makes sense based on the relationships you're seeing.

If you clarify the data from the table, I can assist you in determining \( k \) more accurately. Based on your provided responses, you should select the one that reflects your analysis of the data.