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In keeping with the principle of proportional ink, if a country making 10 million televisions every year is illustrated with a 1 x 1 cm square, a country making 20 million TVs should be illustrated with a shape:Question 11Answera.4 cm tall and 4 cm wideb.2 cm tall and 2 cm widec.1.5 cm tall and 1.5 cm wided.2 cm tall and 1 cm wide

Question

In keeping with the principle of proportional ink, if a country making 10 million televisions every year is illustrated with a 1 x 1 cm square, a country making 20 million TVs should be illustrated with a shape:Question 11Answera.4 cm tall and 4 cm wideb.2 cm tall and 2 cm widec.1.5 cm tall and 1.5 cm wided.2 cm tall and 1 cm wide

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Solution

The principle of proportional ink means that the area of the shape should be proportional to the quantity it represents.

Step 1: Determine the area of the first square. The area of a square is calculated by squaring one of its sides. In this case, the square is 1 cm by 1 cm, so its area is 1 cm^2.

Step 2: Determine the proportion between the two quantities. The second country makes 20 million TVs, which is twice as many as the 10 million TVs made by the first country.

Step 3: Apply the proportion to the area of the square. Since the second country makes twice as many TVs, the area of its square should be twice as large. Twice the area of the first square (1 cm^2) is 2 cm^2.

Step 4: Determine the side length of the second square. The area of a square is calculated by squaring one of its sides, so to find the side length, we take the square root of the area. The square root of 2 cm^2 is approximately 1.41 cm.

However, none of the options provided match this calculation. The closest option is b. 2 cm tall and 2 cm wide, but this would represent a country that makes four times as many TVs, not twice as many. There seems to be a mistake in the question or the answer choices.

This problem has been solved

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