Step 1 :Given that Juliet starts her trip at mile marker 225 and is driving at a speed of 75 mph.
Step 2 :We need to find out which mile marker she will be at after 1.8 hours.
Step 3 :We can calculate the distance Juliet will cover in 1.8 hours using the formula for distance which is speed multiplied by time. So, the distance is \(75 \times 1.8 = 135\) miles.
Step 4 :Since she starts at mile marker 225, after driving for 1.8 hours, she will be at mile marker \(225 + 135 = 360\).
Step 5 :Final Answer: Juliet will be at mile marker \(\boxed{360}\).