THE FASTEST MOVING INSECT IS THE LARGE TROPICAL COCHROACH. IT SCURRIES AT SPEEDS OF UP TO 2.3 FEET PER SECOND. NOW WRITE AN EQUATION THAT REPRESENTS HOW MANY MILES A ROACH CAN TRAVEL IN 1.5 HOURS

2.3 feet/sec

= 8280 ft/hour , there are 3600 seconds in 1 hour
= 1.568 mi/hr , there are 5280 feet in 1 mile

so in 1.5 hrs, it went 1.568 x 1.5 or 2.35 miles

Tell your teacher that there are flying insects that "move" much faster than that. The deer botfly has been clocked at 50 miles per hour.

To find out how many miles a roach can travel in 1.5 hours, we need to convert the speed from feet per second to miles per hour.

First, let's convert the roach's speed from feet per second to feet per hour:

1 foot per second * 60 seconds per minute * 60 minutes per hour = 3600 feet per hour

Now, let's convert the roach's speed from feet per hour to miles per hour:

1 mile = 5280 feet

So, 3600 feet per hour * (1 mile / 5280 feet) = 0.6818 miles per hour (rounded to four decimal places)

Now we can use this value to calculate the distance the roach can travel in 1.5 hours:

Distance = Speed * Time

Distance = 0.6818 miles per hour * 1.5 hours

Distance ≈ 1.0227 miles (rounded to four decimal places)

Therefore, the equation that represents how many miles a roach can travel in 1.5 hours is:
Distance ≈ 0.6818 miles per hour * 1.5 hours ≈ 1.0227 miles