Question

The table shows the mass of a substance decreasing over a period of time during a chemical experiment. Identify a quadratic model for the mass m, given the time t. Then use the model to predict the mass at t = 11 seconds.

Answer 1

To identify a quadratic model for the mass, we need to have the equation in the form of m = at^2 + bt + c. Once we have the quadratic model, we can substitute t = 11 seconds to predict the mass.

Step-by-step explanation:

To identify a quadratic model for the mass, we need to have the equation in the form of m = at^2 + bt + c.

Since the table shows the mass decreasing over time, the coefficient of t^2 should be negative.

Let's assume the model is m = at^2 + bt + c.

To find the values of a, b, and c, we can use the data points from the table and solve a system of three equations.

Once we have the quadratic model, we can substitute t = 11 seconds to predict the mass.