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An electrician plans to install solar panels on a rectangular section of roof with an area of 69m^(2). Tyriq said 69÷7(1)/(10) could represent the length of the section if the roof is 7(1)/(10)m across. Corbin said 69÷7(1)/(10) could represent the number of solar panels that would fit if each panel was 7(1)/(10)m long. Whose interpretation makes sense in this context? Choose 1 answer: (A) Tyriq's only (B) Corbin's only (C) Both Tyriq's and Corbin's

An electrician plans to install solar panels on a rectangular section of roof with an area of 69 m2 69 \mathrm{~m}^{2} .\newlineTyriq said 69÷7110 69 \div 7 \frac{1}{10} could represent the length of the section if the roof is 7110 m 7 \frac{1}{10} \mathrm{~m} across.\newlineCorbin said 69÷7110 69 \div 7 \frac{1}{10} could represent the number of solar panels that would fit if each panel was 7110 m 7 \frac{1}{10} \mathrm{~m} long.\newlineWhose interpretation makes sense in this context?\newlineChoose 11 answer:\newline(A) Tyriq's only\newline(B) Corbin's only\newline(C) Both Tyriq's and Corbin's

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Q. An electrician plans to install solar panels on a rectangular section of roof with an area of 69 m2 69 \mathrm{~m}^{2} .\newlineTyriq said 69÷7110 69 \div 7 \frac{1}{10} could represent the length of the section if the roof is 7110 m 7 \frac{1}{10} \mathrm{~m} across.\newlineCorbin said 69÷7110 69 \div 7 \frac{1}{10} could represent the number of solar panels that would fit if each panel was 7110 m 7 \frac{1}{10} \mathrm{~m} long.\newlineWhose interpretation makes sense in this context?\newlineChoose 11 answer:\newline(A) Tyriq's only\newline(B) Corbin's only\newline(C) Both Tyriq's and Corbin's
  1. Understand the problem: To understand the problem, we first rephrase what is asked in one sentence.
  2. Analyzing Tyriq's interpretation: Let's analyze Tyriq's interpretation. He suggests that dividing the area of the roof (69 m269\,\text{m}^2) by the width (7(1/10) m7(1/10)\,\text{m} or 7.1 m7.1\,\text{m}) could represent the length of the section of the roof. This makes sense because the area of a rectangle (in this case, the roof) is calculated by multiplying its length by its width. If we know the area and the width, we can find the length by dividing the area by the width.\newlineCalculation: 69÷7.169 \div 7.1
  3. Calculation for Tyriq's interpretation: Perform the calculation for Tyriq's interpretation.\newline69÷7.1=9.71869 \div 7.1 = 9.718 (rounded to three decimal places)\newlineThis result represents the length of the roof section in meters, assuming the width is 7.17.1 meters. This calculation is correct and makes sense in the context of finding the dimensions of a rectangular section of the roof.
  4. Analyzing Corbin's interpretation: Now, let's analyze Corbin's interpretation. He suggests that dividing the area of the roof (69m269\text{m}^2) by the length of a solar panel (7(1/10)m7(1/10)\text{m} or 7.1m7.1\text{m}) could represent the number of solar panels that would fit on the roof. This interpretation is incorrect in the context given because the area of the roof cannot be directly divided by the length of a solar panel to determine the number of panels that would fit. The number of panels that would fit depends on both the length and the width of the panels, not just the length. Therefore, Corbin's interpretation does not make sense in this context.

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