25
QuizMultiple Choice

Applying Vectors in the Plane — Unit test

Question 25 • Precalculus

Mya has a picture that measures 10 inches by 10 inches. She uses a photocopier to reduce the length and width of the picture to 75% their original size. What are the dimensions of the picture after five reductions (reducing to 75% each time)? Round any decimals to the nearest tenth.

Answer
A
1.8 in. by 1.8 in.
B
2.4 in. by 2.4 in.
C
3.2 in. by 3.2 in.
D
7.5 in. by 7.5 in.

Explanation

Each reduction multiplies both dimensions by 0.75. After five reductions, each side is 10 × 0.75⁵ = 2.373… inches, which rounds to 2.4 inches. The picture is 2.4 in. by 2.4 in., choice B.

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