Question

Which of the following correctly graphs the geometric sequence?

This table shows the relationship between input values (n) and the corresponding output values for the function f(n) showing the values rising by a factor of 1.5 each time, suggesting an exponential function.
n f(n)

0 11
1 16.5
2 24.75
3 37.125
4 55.6875
(1 point)
Responses

Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 60 in increments of 10 and the y-axis ranges from 0 to 6 in increments of 1.
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Image with description Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 60 in increments of 10 and the y-axis ranges from 0 to 6 in increments of 1.

[Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 6 in increments of 1 and the y-axis ranges from 0 to 6000 in increments of 1000.
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[ Image with description Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 6 in increments of 1 and the y-axis ranges from 0 to 6000 in increments of 1000.

Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 6 in unit increments and the y-axis ranges from 0 to 60 in increments of 10.
▶Click for Long Desc
Image with description Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 6 in unit increments and the y-axis ranges from 0 to 60 in increments of 10.

Five points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 10 in increments of 1 and the y-axis ranges from 0 to 60 in increments of 10.

Answer 1

The correct graph is the one with the x-axis from 0 to 6 (unit increments) and the y-axis from 0 to 60 (increments of 10).

Reason: n runs 0–4, and f(n) ranges about 11 to 55.7, so a 0–6 by 0–60 grid will show the five points (11, 16.5, 24.75, 37.125, 55.6875) at the correct heights.