Final answer:
The equation that models the situation is 6x²+x−13=0.
Step-by-step explanation:
Equation modeling typically refers to the process of constructing and analyzing mathematical equations or models that describe relationships between variables. These models are used in various fields, including physics, engineering, economics, biology, and social sciences, to understand and predict the behavior of systems. Equation modeling involves representing real-world phenomena with mathematical expressions and using these equations to make predictions or gain insights into the underlying processes.
The formula for the area of a triangle is 1/2 × base × height. In this problem, the base is x and the height is 1+6x. The problem states that the area is 13 square feet. To model this situation, we can use the formula and set it equal to 13: 1/2 × x × (1+6x) = 13. Simplifying and rearranging the equation, we get 6x²+x−13=0. Therefore, the correct equation that models this situation is B. 6x²+x−13=0.