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Answer :
The predicted average daily temperature for the city with a latitude of 36.7 degrees is 39.4 degrees Fahrenheit.
To predict the average daily temperature for a city with a latitude of 36.7 degrees using the given equation y = -2.314x + 124.3, we need to substitute x = 36.7 into the equation and solve for y.
Given:
y = -2.314x + 124.3
x = 36.7
Substitute x into the equation:
[tex]\[ y = -2.314(36.7) + 124.3 \][/tex]
First, calculate [tex]\( -2.314 \times 36.7 \)[/tex]:
[tex]\[ -2.314 \times 36.7 = -84.9208 \][/tex]
Next, add 124.3 to this result:
[tex]\[ y = -84.9208 + 124.3 \\ y = 39.3792 \][/tex]
Round the result to one decimal place:
[tex]\[ y \approx 39.4 \][/tex]
The complete question is:
The average daily temperature for cities along the eastern seaboard generally decreases for cities farther north. A city's latitude in the northern hemisphere is a measure of how far north it is on the globe. The average temperature, y (measured in degrees Fahrenheit) y = -2.314 x +124.3. where x is the latitude of the city. (a) Use the equation to predict the average daily temperature for a certain city, whose latitude is 36.7 degrees. Round to one decimal place.
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