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.