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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?

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 r class=

Respuesta :

Answer:

1. Logarithmic

2.Ratio

Step-by-step explanation:

The type of function which best models the data in the table of desimal number and binary number is y=2ˣ⁻¹.

What is mathematical model?

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The table shows the number of digits needed to represent several decimal numbers as binary numbers.

  • 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.

Here, in the table the values of data are increasing in power form with the increase in decimal number. The model for this table can be given as,

[tex]y=2^{x-1}[/tex]

Lets check this function for the first values. In the first row of table the input value (x) is 2 and the ouput value (y) is 2.

[tex]y=2^{2-1}\\y=2^{1}\\y=2[/tex]

For second row,

[tex]y=2^{3-1}\\y=2^{2}\\y=4[/tex]

The output value is same as given in the table, for the input values. The type of function which best models the data in the table of desimal number and binary number is,

[tex]y=2^{x-1}[/tex]

Learn more about the mathematical model here;

https://brainly.com/question/4960142

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