Final answer:
The inequality representing the situation is either v < 15 or v > 170. Graphing this on a number line shows two shaded regions: left of 15 and right of 170, indicating the acceptable speeds for proper gas burning efficiency in the car.
Step-by-step explanation:
To represent the situation where a Mercedes engine burns the correct amount of gas during a lap when the car is going either under 15 kph or over 170 kph, we can use an inequality. To express the speeds that satisfy this condition, we will use 'v' to represent the velocity of the car in kph.
The inequality that represents the speeds at which the correct amount of gas is burned is either v < 15 or v > 170. In interval notation, this is represented as (-∞, 15) ∪ (170, +∞). To graph this inequality on a number line, we would draw a line with two portions shaded: one to the left of the number 15 and one to the right of the number 170. This visual representation would clearly show the ranges of speeds that are acceptable for the engine's gas burning efficiency.
It's important to note that for any car, the burning efficiency can vary based on several factors, such as engine design, fuel type, and driving conditions, among others.