3
QuizMultiple Choice

Composition of Functions and Modeling

Question 3 • GA-GSE Pre-Calculus

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 2.8 cm each second until the square reaches its maximum size. What is the perimeter of the square after 1.5 seconds? Recall that the perimeter of a shape is the sum of its side lengths.

Answer
A
16.8 centimeters
B
19.2 centimeters
C
20.8 centimeters
D
29.2 centimeters

Explanation

The square’s side length starts at 1 cm and grows by 2.8 cm per second. In 1.5 seconds, it grows by 2.8 × 1.5 = 4.2 cm, so each side is 1 + 4.2 = 5.2 cm. A square has four equal sides, so its perimeter is 4 × 5.2 = 20.8 cm. The correct choice is 20.8 centimeters.

AI-written and checked against the verified answer.

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