Practice Exam

Question 27 • Algebra I

Which is the graph of the sequence defined by the function f of open paren x plus 1 close paren is equal to 3 fifths f x when the first term in the sequence is 375 ?

Answer

Image with description A coordinate plane with 4 plotted points. The x-axis labeled from 0 to 5 and the y-axis labeled from 0 to 500 in increments of 1. The points are 0 comma 375, 1 comma 75, 2 comma 15, 3 comma 3.

Image with description A coordinate plane with 4 plotted points. The x-axis labeled from 0 to 5 and the y-axis labeled from 0 to 500 in increments of 1. The points are 1 comma 375, 2 comma 75, 3 comma 15, 4 comma 3.

Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 375), (1 comma 225), (2 comma 135), (3 comma 81).

Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 375), (2 comma 225), (3 comma 135), (4 comma 81).

Explanation

Each term is 3/5 of the previous term, so multiply by 0.6 each time: 375, 225, 135, 81. Since the first term is at x = 1, the plotted points are (1, 375), (2, 225), (3, 135), and (4, 81). That matches choice D.

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