Question

Which quadratic equation best models the data?

a) y = -0.08x² + 1.4.2 + 32
b) y = -0.08x² + 1.62 + 35
c) y = -0.08x² + 0.58x + 35
d) y = -0.08x² + 1.4x + 35

Answer 1

Option d) y = -0.08x² + 1.4x + 35 is the quadratic equation that best models the data.

Step-by-step explanation:

The quadratic equation that best models the data is option d) y = -0.08x² + 1.4x + 35.

This equation represents a quadratic function in the form y = ax² + bx + c, where a = -0.08, b = 1.4, and c = 35. The coefficients in this equation match the given data, making it the best choice to model the data.

The other options have varying coefficients that do not accurately represent the data points.