The average temperature of the first 4 , text | vedclass

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Question

(D) Let the temperature on the $4^{th} \, 	ext{day}$ be $x^{\circ} 	ext{C}$.The sum of temperatures for the first $4 \, 	ext{days} = 4 	imes 38.6

Vedclass · Accepted Answer

$41.9$

Vedclass · Answer

(D) Let the temperature on the $4^{th} \, 	ext{day}$ be $x^{\circ} 	ext{C}$.The sum of temperatures for the first $4 \, 	ext{days} = 4 	imes 38.6 = 154.4^{\circ} 	ext{C}$.The sum of temperatures for the last $4 \, 	ext{days} = 4 	imes 40.3 = 161.2^{\circ} 	ext{C}$.The sum of temperatures for the whole week $(7 \, 	ext{days})$ $= 7 	imes 39.1 = 273.7^{\circ} 	ext{C}$.Since the $4^{th} \, 	ext{day}$ is counted in both the first $4 \, 	ext{days}$ and the last $4 \, 	ext{days}$, we have:$(154.4 + 161.2) - x = 273.7$$315.6 - x = 273.7$$x = 315.6 - 273.7 = 41.9^{\circ} 	ext{C}$.Therefore, the temperature on the $4^{th} \, 	ext{day}$ is $41.9^{\circ} 	ext{C}$.

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