a car is traveling at a rate of 50 miles per hour, while a motorcycle is traveling at 70 miles per hour. The car takes 4 hours longer to arrive at the destination. The equation representing the scenario is 50(x + 4) = 70x. What can be concluded about the equation? Check all that apply. a. The scenario is translated to car's travel distance = motorcycle's travel distance. b. The expression 70x represents the hours the motorcycle traveled. c. The expression (x+4) represents the number of hours traveled by the car. d. The variable x represents the total hours driven by the motorcycle. e. The car's travel distance is represented as 50(x+4).

From the equation 50(x + 4) = 70x, we can assess the given statements.

a. The scenario is translated to car's travel distance = motorcycle's travel distance. - This is true. Since both vehicles are traveling to the same destination, their total distances covered must be equal for them to arrive at the same point. The left side of the equation represents the car's travel distance, and the right side represents the motorcycle's travel distance.

b. The expression 70x represents the hours the motorcycle traveled. - This statement is incorrect. The expression 70x represents the distance the motorcycle travels, not the time. The rate (speed) of the motorcycle times the time 'x' travelled gives us the distance.

c. The expression (x+4) represents the number of hours traveled by the car. - This is true. The variable 'x' in the equation represents the time the motorcycle took to reach the destination. Since the car took 4 hours longer, x + 4 represents the number of hours the car traveled.

d. The variable x represents the total hours driven by the motorcycle. - This is true. In the equation, 'x' represents the number of hours the motorcycle took to cover the distance to the destination.

e. The car's travel distance is represented as 50(x+4). - This is true. The car's travel distance is calculated by its speed (50 miles per hour) multiplied by the time it traveled (x + 4 hours).