8
QuizMultiple Choice

Composition of Functions and Modeling — Quiz

Question 8 • Precalculus

When Jose installs a new app on his phone, it creates a square icon on his home screen. The square starts with side lengths of 1 cm. The side lengths grow by 2 point 8 cm each second until the square reaches its maximum size. What is the perimeter of the square after 1 point 5 seconds? Recall that the perimeter of a shape is the sum of its side lengths.

Answer
A
29 point 2 centimeters
B
19 point 2 centimeters
C
16 point 8 centimeters
D
20 point 8 centimeters

Explanation

The square’s side length starts at 1 cm and grows by 2.8 cm each second. After 1.5 seconds, each side is 1 + (2.8 × 1.5) = 5.2 cm. A square has four equal sides, so its perimeter is 4 × 5.2 = 20.8 cm, which is choice D.

AI-written and checked against the verified answer.

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