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The given function 𝑔g models the number of gallons of gasoline that remains from a full gas tank in a car after driving 𝑚m miles. According to the model, about how many gallons of gasoline are used to drive each mile?

Question

The given function 𝑔g models the number of gallons of gasoline that remains from a full gas tank in a car after driving 𝑚m miles. According to the model, about how many gallons of gasoline are used to drive each mile?

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Solution

To answer this question, we need to know the specific function g(m) that models the number of gallons of gasoline remaining in the tank after driving m miles. However, in general, the rate of gasoline usage per mile can be found by calculating the derivative of the function g(m). The derivative g'(m) will give the rate of change of the gasoline in the tank with respect to the miles driven, which is the amount of gasoline used per mile.

If the function g(m) is linear, then the rate of gasoline usage per mile is constant and is equal to the slope of the function. If the function is not linear, then the rate of gasoline usage per mile can vary depending on the number of miles driven.

Without the specific function g(m), it's impossible to give a more precise answer.

This problem has been solved

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