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? linearlogarithmicquadraticinverse variation

A logarithmic function is an appropriate model because, for evenly spaced y-values, the sumdifferenceproductratio 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?linearsquare rootexponentialinverse variation

What type of function best models the data in the graph?linearquadraticexponentialinverse variation

Which quadratic equation best models the data in the graph?

Which function best models the data in the table?

Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute

The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet? pounds of force

Which function best models the data in the graph?

What does the slope of the function represent in this situation?

Jana predicts that the population, y, will grow according to y = 12 log(x + 1) + 10, where x is the time in minutes. How much greater does Kirk’s model predict the population will be after 60 minutes than Jana’s model? greater by about 10 bacteriagreater by about 30 bacteriagreater by about 50 bacteriagreater by about 60 bacteria

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? linear✔ logarithmicquadraticinverse variation

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? linearexponentialsquare rootinverse variation

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?linearsquare root✔ exponentialinverse variation

Which exponential equation best models the data in the graph?