Aseries of tile patters is shown below. consider the function that represents the number of white tiles in each figure.

select all the statements that are true

-w(n)=4n+4 represents the function.

-w(n)=4n+8 represents the function.

-input values for the function are natural numbers.

-input values for the function are the number of white tiles in each figure.

-the function is continuous.

-figure 6 will have 10 white tiles.

-figure 8 will have 36 white tiles.

• W(n)=4n+4 represents the function.

• Input values for the function are natural numbers.

• Figure 8 will have 36 white tiles

Step-by-step explanation:

–W(n)=4n+4 represents the function.

TRUE - For figure 1, this function gives W(1) = 4·1+4 = 8, the number of white tiles. It also gives correct values for the other figures shown.

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–W(n)=4n+8 represents the function.

FALSE - See the other W(n) function above. This function does not give correct values for the figures shown.

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–Input values for the function are natural numbers.

TRUE - the figures are numbered using natural numbers, so natural numbers are the input to the function

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–Input values for the function are the number of white tiles in each figure.

FALSE - The description of the function is that the number of white tiles is its output, not its input.

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–The function is continuous.

FALSE - the domain of the function is natural numbers. It is undefined for numbers other than that, so is not continuous.

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–Figure 6 will have 10 white tiles.

FALSE - using the definition of W(n) above, we find W(6) = 28, not 10.

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–Figure 8 will have 36 white tiles.

TRUE - W(8) = 36

step-by-step explanation:

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the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents