Modeling with Functions Answers

Each place in a decimal number can be one of the digits 0 to 9. Each place in a binary number can only be 0 or 1. The table shows the number of digits needed to represent several decimal numbers as binary numbers. Which type of function best models the data in the table?

A logarithmic function is an appropriate model because, for evenly spaced y-values, the of consecutive x-values is constant.

The graph shows the relationship between the length, x, in meters, of a pendulum and its period, y, in seconds. The period is the amount of time it takes the pendulum to swing forward and back. Which type of function best models the data in the graph?

A bottle of water is placed in a freezer. The table shows how the approximate temperature of the bottle changes over time. What type of function best models the data in the graph?

What type of function best models the data in the graph?linear✔ quadraticexponentialinverse variation

Which function best models the data in the table?

Which function best models the data in the graph?

Which type of function best models the data in the table? Justify your choice.

An exponential function is not an appropriate model because, for evenly spaced x-values, the of consecutive y-values is not constant.

Which exponential equation best models the data in the graph?

Which quadratic equation best models the data in the graph?

beats per minute

The horizontal reach of a fire hose is the distance the hose can spray water horizontally. Based on the function, about what is the minimum water pressure the fire hose needs to have a horizontal reach of 100 feet?