INTRODUCTION TO RATIONAL EXPRESSIONS

Distance and Time A car is traveling at 60 miles
per hour.
(a) How long does it take the car to travel 360 miles?
(b) Write a rational expression that gives the time
that it takes the car to travel M miles

time to travel 360 miles at 60 pmp = 360/60 hrs

time to trave M miles at 60 mph = 360/M hrs

To solve these questions, we need to use the formula:

Time = Distance / Rate

(a) How long does it take the car to travel 360 miles?
Given distance = 360 miles and rate = 60 miles per hour.
We can use the formula: Time = Distance / Rate
Time = 360 miles / 60 miles per hour
Time = 6 hours

So, it takes the car 6 hours to travel 360 miles.

(b) Write a rational expression that gives the time
that it takes the car to travel M miles.
Using the formula: Time = Distance / Rate, we can write the expression as:
Time = M miles / 60 miles per hour

Therefore, the rational expression for the time it takes the car to travel M miles is M/60.