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carrie is heating water to make tea. The temperature, T, in degrees Fahrenheit, of the water as it is heating is modeled by the function T(M) = 55(1.28)M where M represents the number of minutes. Which statement is true about the function?

User Ben Luk
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The function T(M) = 55 * (1.28)^M represents an exponential growth model for the water temperature as it heats, with a continuous increase at a rate of 28% per minute.

The function T(M) = 55 * (1.28)^M models the temperature, T, in degrees Fahrenheit, of water as it heats over time, represented by M in minutes. The function is an exponential growth model with a base of 1.28, indicating that the temperature increases at a rate of 28% per minute. The initial temperature is 55 degrees Fahrenheit.

As time (M) increases, the temperature (T) will continuously rise, reflecting exponential growth. The rate of increase is determined by the multiplier 1.28, and the function's behavior is indicative of a heating process where the temperature experiences continuous growth.

It's essential to note that the function assumes an idealized scenario without external factors affecting the heating process, such as heat loss to the surroundings.

In summary, the given function T(M) = 55 * (1.28)^M represents an exponential growth model for the temperature of water as it heats over time, with a continuous increase at a rate of 28% per minute.

complete question should be :

What is the mathematical function that models the temperature, T, in degrees Fahrenheit, of water as it heats over time, represented by M in minutes?

User Exceptional
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