Question: For items 48-50
The screen dimensions of two television sets are 15.7 in x27.9 in and 20.6in x36.6 in.
48. Are these dimensions almost proportional?
49. If the prices of these units are Php 14,500 and Php 15,600,respectively,are these prices proportional to their areas?
50. Which is a better buy? Explain
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TV Proportions and Prices.
Troy Tutor & Review
The screen dimensions of two television sets are 15.7 in x27.9 in and 20.6in x36.6 in.
48. Are these dimensions almost proportional?
49. If the prices of these units are Php 14,500 and Php 15,600,respectively,are these prices proportional to their areas?
50. Which is a better buy? Explain
To determine if the dimensions are almost proportional, we can calculate the ratio of the length to the width for both television sets. For the first set, the ratio is 15.7/27.9 ≈ 0.563. For the second set, the ratio is 20.6/36.6 ≈ 0.563. Since both ratios are approximately equal, the dimensions are almost proportional.
To determine if the prices are proportional to the areas of the television sets, we can calculate the area of each set and then compare the ratio of the prices to the ratio of the areas. The area of the first set is 15.7 x 27.9 = 438.03 sq. in. The area of the second set is 20.6 x 36.6 = 752.76 sq. in. The ratio of the prices is 14500/15600 ≈ 0.93. The ratio of the areas is 438.03/752.76 ≈ 0.58. Since the ratio of the prices is not approximately equal to the ratio of the areas, the prices are not proportional to the areas.
To determine which television set is a better buy, we need to compare their prices per square inch of screen area. The price per square inch of the first set is 14500/438.03 ≈ 33.12 Php/sq. in. The price per square inch of
Troy Tutor & Review
The screen dimensions of two television sets are 15.7 in x27.9 in and 20.6in x36.6 in.
48. Are these dimensions almost proportional?
49. If the prices of these units are Php 14,500 and Php 15,600,respectively,are these prices proportional to their areas?
50. Which is a better buy?
Explain all summarize
48. Yes, the dimensions of the two television sets are almost proportional. We can calculate the ratio of the length to the width for both sets and find that the ratios are approximately equal.
49. No, the prices of the two television sets are not proportional to their areas. We can calculate the area of each set and compare the ratio of the prices to the ratio of the areas. Since the ratio of the prices is not approximately equal to the ratio of the areas, the prices are not proportional to the areas.
50. To determine which television set is a better buy, we need to compare the price per square inch of screen area. The price per square inch of the first set is approximately 33.12 Php/sq. in. The price per square inch of the second set is approximately 20.75 Php/sq. in. Thus, the second set is a better buy in terms of price per square inch of screen area.