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Question 8 of 10Select the correct statement about the function represented by the table.x y1 262 443 624 805 98A.It is an exponential function because the factor between each x- and y-value is constant.B.It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.C.It is a linear function because the difference y − x for each row is constant.D.It is an exponential function because the y-values increase by an equal factor over equal intervals of x-values.

Question

Question 8 of 10Select the correct statement about the function represented by the table.x y1 262 443 624 805 98A.It is an exponential function because the factor between each x- and y-value is constant.B.It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.C.It is a linear function because the difference y − x for each row is constant.D.It is an exponential function because the y-values increase by an equal factor over equal intervals of x-values.

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Solution

The correct statement is B. It is a linear function because the y-values increase by an equal difference over equal intervals of x-values.

Here's the step-by-step reasoning:

  1. Look at the differences between the y-values. They are 18 (44-26), 18 (62-44), 18 (80-62), and 18 (98-80). The difference is constant.

  2. Look at the differences between the x-values. They are all 1 (2-1, 3-2, 4-3, 5-4). The difference is constant.

  3. Since the y-values increase by a constant amount over equal intervals of x-values, this is a characteristic of a linear function. Therefore, the function represented by the table is a linear function.

This problem has been solved

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