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Beginning in the middle of summer, the average temperature for a certain year in Phoenix could approximately be modeled by the function f(x)=31cos(0.0055πx)+88, where x represents the number of days since the middle of the summer, and f(x) represents the average temperature in degrees Fahrenheit.

What was the lowest average temperature in Phoenix that year (approximately)?

A) 57∘F
B) 31∘F
C) 55∘F
D) 88∘F

Respuesta :

facundo3141592

By finding the minimum of the given function, we conclude that the lowest average temperature that year is 57°F.

What was the lowest average temperature in Phoenix that year?

We know that the average temperature is given by the equation:

f(x)=31cos(0.0055πx)+88

And it is in Fahrenheit degrees.

To get the lowest average temperature, we just need to find the minimum of the above function.

Remember that the minimum of the cosine function is:

cos(x) = -1

Then the lowest value of the above function is:

f(x₀) = 31*(-1) + 88 = 57

From this, we conclude that the lowest average temperature that year is 57°F, so the correct option is A.

If you want to learn more about cosine functions:

https://brainly.com/question/8120556

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