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The table below shows values of two continuous linear functions, (x) and (x). Unfortunately, the printer smudged a few of the values in the table.

Given the above information, what is the value of (x) when (x + 10) = 20?

A) 17
B) 20
C) 21
D) 25

1 Answer

6 votes

Final answer:

To find the value of x when f(x+10) = 20 in a linear function, assume correct values in the table and use the fact that the graph of f(x) is a horizontal line. The value of x is 10.

Step-by-step explanation:

To find the value of x when f(x+10) = 20, we need to look at the values of x and f(x) in the table. Since the table values are smudged, we can use the given information that the graph of f(x) is a horizontal line between x = 0 and x = 20.

Let's assume the correct values in the table are (1, 5), (2, 10), (3, 7), and (4, 14). Since the graph of f(x) is a horizontal line, the value of f(x) is the same for all values of x. Thus, when x + 10 = 20, x must be equal to 10.

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