{Use of Tech} Fuel economy Sup​​pose you own a fuel-efficient hybrid automobile with a monitor on the dashboard that displays the mileage and gas consumption. The number of miles you can drive with g gallons of gas remaining in the tank on a particular stretch of highway is given by m(g) = 50g−25.8g²+12.5g³−1.6g⁴, for 0≤g≤4.
b. Graph and interpret the gas mileage m(g)/g. 

Verified step by step guidance

1. First, identify the function for mileage given by m(g) = 50g - 25.8g² + 12.5g³ - 1.6g⁴, and understand that this function represents the total miles driven based on the gallons of gas g.
2. Next, to find the gas mileage, you need to compute the ratio m(g)/g, which represents the miles per gallon. This can be expressed as (50g - 25.8g² + 12.5g³ - 1.6g⁴) / g for g > 0.
3. Simplify the expression for m(g)/g by dividing each term in the numerator by g, resulting in the function m(g)/g = 50 - 25.8g + 12.5g² - 1.6g³.
4. Determine the domain of the function m(g)/g, which is the same as the domain of m(g), specifically for 0 < g ≤ 4, since you cannot divide by zero.
5. Finally, graph the function m(g)/g over the interval (0, 4] and analyze the graph to interpret the gas mileage in terms of how it changes with varying amounts of gas.