Final answer:
The slope represents the rate of change of one variable with respect to another. In this case, we want to find the slope of the distance versus time graph for the car. Given that the car traveled 210 miles in 8.4 gallons of gas, we can calculate the speed (distance / time) of the car. With this information, we can determine the slope of the graph.
Step-by-step explanation:
The question asks for the slope of the relationship between the distance a car travels and the amount of gasoline it uses. In this context, the slope can be understood as the car's fuel efficiency, which is the distance traveled per unit of fuel. The slope can be calculated by dividing the total distance traveled by the total gallons of gas used:
Slope (miles per gallon) = Distance (miles) ÷ Gas used (gallons)
For the given values:
Slope = 210 miles ÷ 8.4 gallons
Slope = 25 miles per gallon
This means that the car drives 25 miles for every gallon of gasoline. If you need to relate this to force and work, you'd have to consider additional information, such as the energy content of the gasoline and the efficiency of the engine in converting that energy into mechanical work.
The slope represents the rate of change of one variable with respect to another. In this case, we want to find the slope of the distance versus time graph for the car. Since the slope of a distance versus time graph is the velocity, we can use the formula:
slope = (change in distance) / (change in time)
Given that the car traveled 210 miles in 8.4 gallons of gas, we can calculate the speed (distance / time) of the car. With this information, we can determine the slope of the graph.