Practice Test

Question 10 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

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 A coordinate plane with four labeled points. The x-axis is labeled from 1 to 5 in increments of 1 and the y-axis is labeled from 10 to 100 in increments of 10. The labeled points are as follows: the point 1 comma 100 is marked near the top, the point 2 comma 50 is marked at the center, the point 3 comma 25 is marked below center, and the point 4 comma 12.5 is marked near the lower right.

Image with description A coordinate plane with four labeled points. The x-axis is labeled from 1 to 5 in increments of 1 and the y-axis is labeled from 10 to 100 in increments of 10. The labeled points are as follows: the point 0 comma 100 is marked near the top of the y-axis, the point 1 comma 50 is marked at the center left, the point 2 comma 25 is marked below center, and the point 3 comma 12.5 is marked near the lower right.

Image with description A coordinate plane with three labeled points. The x-axis is labeled from 1 to 5 in increments of 1 and the y-axis is labeled from 10 to 100 in increments of 10. The labeled points are as follows: the point 1 comma 100 is marked near the top left, the point 3 comma 90 is marked just below the top center, and the point 5 comma 80 is marked at the center right.

Image with description A coordinate plane with three labeled points. The x-axis is labeled from 1 to 5 in increments of 1 and the y-axis is labeled from 10 to 100 in increments of 10. The labeled points are as follows: the point 0 comma 100 is marked near the top of the y-axis, the point 2 comma 90 is marked just below the top center, and the point 4 comma 80 is marked at the center right.

Explanation

The function is f(x) = 100(0.5)^(x − 1). Starting at x = 1, the exponent is 0, so f(1) = 100; each time x increases by 1, the value is multiplied by 0.5. Thus the next points are (2, 50), (3, 25), and (4, 12.5), matching the graph with points listed in choice C.

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