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AssignmentMultiple Select

Modeling Real-World Multistep Equations

Question 8 • GA-8th Grade Mathematics

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.

Answer
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).

Explanation

The car and motorcycle travel the same distance to reach the destination, so the equation sets their distances equal. Since the car takes 4 hours longer, if the motorcycle travels for x hours, the car travels for x + 4 hours. Thus x represents the motorcycle’s travel time, and 50(x + 4) represents the car’s distance. The expression 70x is the motorcycle’s distance, not the number of hours traveled.

AI-written and checked against the verified answer.

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