Practice Test

Question 5 • Mathematics I

Which is the graph of the sequence defined by the function f of x is equal to 100 times 0 point 5 raised to the x minus 1 power ?

Answer

Image with description On a coordinate plane, 3 points are plotted. The points are (1 comma 100), (3 comma 90), (5 comma 80).

Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 100), (1 comma 50), (2 comma 25), (3 comma 12.5).

Image with description On a coordinate plane, 3 points are plotted. The points are (0 comma 100), (2 comma 90), (4 comma 80).

Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 100), (2 comma 50), (3 comma 25), (4 comma 12.5).

Explanation

Substitute consecutive integer values of x into f(x) = 100(0.5)^(x − 1). At x = 1, the value is 100; each increase of 1 in x multiplies the value by 0.5, giving 50, 25, and 12.5 for x = 2, 3, and 4. Choice C shows those points.

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