Question

When Ray left Main St. Grill, Nicole had already traveled 3.5 miles and was biking at a rate of 5 miles per hour. Ray is traveling by car at a rate of 50 miles per hour. The number of miles traveled depends on the number of hours, x, traveled. Which equation or inequality represents the situation when the number of miles traveled by Ray is greater than the number of miles traveled by Nicole?

A) 50x > 5(x + 3.5)
B) 5(x + 3.5) > 50x
C) 50x ≥ 5(x + 3.5)
D) 50x ≤ 5(x + 3.5)

Answer 1

The equation that represents the situation when the number of miles traveled by Ray is greater than the number of miles traveled by Nicole is 50x > 5(x + 3.5).

Step-by-step explanation:

The equation that represents the situation when the number of miles traveled by Ray is greater than the number of miles traveled by Nicole is A) 50x > 5(x + 3.5).

To understand why this equation is correct, let's break it down:

Ray's distance traveled is given by 50x, where x is the number of hours traveled.

Nicole's distance traveled is given by 5(x + 3.5), since she had already traveled 3.5 miles when Ray left and she is traveling at a rate of 5 miles per hour.

To determine when the number of miles traveled by Ray is greater than Nicole, we need to compare the two distances. So, we use the greater than symbol >, resulting in the equation 50x > 5(x + 3.5).

Therefore, option A) 50x > 5(x + 3.5) represents the situation when Ray's distance traveled is greater than Nicole's distance traveled.