Question

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.

(1 point)
Responses

k=3
k equals 3

k=0
k equals 0

k=2
k equals 2

k=1

Answer 1

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.