Jennifer has a string attached to the end of a buoy with extra string coiled on the bottom of the tank. She measures the length
of the string from where it is attached to the buoy to the bottom of the tank as he adds more water to the tank. The length changes linearly as water is added. The table shows the collected data. What is the slope of the line that models the data?
Its A,,,,,,,,,,,,,,,,,,,,,,, <span>Jennifer has a string attached to the end of a buoy with extra string coiled on the bottom of the tank. She measures the length of the string from where it is attached to the buoy to the bottom of the tank as he adds more water to the tank. The length changes linearly as water is added. The table shows the collected data. What is the slope of the line that models the data?
This equation is written in vertex notation, so we know the vertex is (-5,8). The parabola opens upward because the coefficient of the squared term is positive. Therefore, the vertex is the minimum, meaning all y values will be greater than (or equal to) the y-coordinate of the vertex (which is 8). When we convert this into a mathematical inequality, we get y>=8.