The data in the scatterplot roughly fall in the shape of a downward-opening parabola; therefore, the coefficient for the x2 term must be negative. Based on the location of the data points, the y-intercept of the parabola should be somewhere between 740 and 760.Therefore, of the equations given, the best model is y=−1.674x2+19.76x+745.73. Choices A and C are incorrect. The positive coefficient of the x2 term means that these these equations each define upward opening parabolas, whereas a parabola that fits the data in the scatterplot must open downward. Choice B is incorrect because it defines a parabola with a intercept that has a negative y-coordinate, whereas a parabola that fits the data in the scatterplot must have a y-intercept with a positive y-coordinate.