27
QuizMultiple Choice

Unit Test — Unit test

Question 27 • TX-Pre-Calculus

A botanist measures a plant, in feet, at the beginning of each month and notices that the measurements form a geometric sequence, as shown below.2, 2.2, 2.42, 2.662, ...If the first measurement was taken on September 1, about how tall was the plant three months before, on June 1, assuming the same growth pattern?

Answer
A
0.9 ft
B
1.5 ft
C
1.7 ft
D
2.0 ft

Explanation

The measurements grow by a factor of 2.2 ÷ 2 = 1.1 each month. To go back three months from September 1 to June 1, divide 2 by 1.1 three times: 2 ÷ 1.1³ ≈ 1.50 feet. So the plant was about 1.5 ft tall, choice B.

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