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The equation m = 40g gives the distance in miles, m, a car can travel without refilling the tank and using 9 gallons of gas. The tank can hold 16 gallons of gas. Describe the domain of the function.

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Final answer:

The domain of the function m = 40g, given the car's tank can hold 16 gallons of gas, is all the real numbers from 0 to 16 inclusive, or [0, 16] in interval notation.

Step-by-step explanation:

The question asks us to describe the domain of the function given by the equation m = 40g, where m represents the distance in miles that a car can travel without refilling the tank using g gallons of gas. Assuming the car's tank can hold a maximum of 16 gallons, we can determine the domain of the function, which is the set of all possible values for g that the car can actually use.

Since a car cannot travel on a negative amount of gas, the smallest value for g is 0. Moreover, since the tank can hold at most 16 gallons, the largest value for g is 16. Therefore, the domain of the function is all real numbers from 0 to 16 inclusive. In interval notation, this is written as [0, 16].

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