AnswersINMT3 Integrated Math 3 Sem 1 26-27Modeling with Rational Functions — Unit testQuestion 650
650
QuizMultiple Choice

Modeling with Rational Functions — Unit test

Question 650 • [INMT3] Integrated Math 3 Sem 1 (26-27)

A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?

Answer
A
112.50 ft2
B
145.31 ft2
C
147.66 ft2
D
290.63 ft2

Explanation

Each time he paints, he covers half of what remains unpainted. After five rounds, the unpainted portion is 150 × (1/2)^5 = 4.6875 ft², so the painted area is 150 − 4.6875 = 145.3125 ft². This is approximately 145.31 ft², choice B.

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