Final answer:
To translate the sentence "The speed of the bicycle exceeds 8 mph" into an inequality, you write 'x > 8', where x is the speed of the bicycle in mph. Reasonableness checks involve confirming correct units and plausible magnitudes.
Step-by-step explanation:
To translate the sentence "The speed of the bicycle exceeds 8 mph" into an inequality, we use the variable x to represent the speed of the bicycle in miles per hour (mph). The word 'exceeds' indicates that the speed is greater than 8 mph. Therefore, the inequality representing this sentence is x > 8.
Step 2 involves checking to see if the answer is reasonable, which includes ensuring the units are correct and the magnitude is plausible. For instance, if a calculation required converting meters per second to miles per hour, you would use the conversion factors to ensure accuracy. An unreasonable speed for a bicycle might be one that is too large, such as 89 mph, which exceeds typical bicycling speeds.