How do I solve this? What is the domain and range?

Question

Maria takes MOPAC to work. She can drive 45 mph during rush hour. Write a function to show how long it takes her to get to work. If she gets to work in 30 minutes, how far does she have to travel to get to work? Write the domain and range of this function. Is this function continuous or discreet 45 mph during rush hour. Write a function to show how long it takes her to get to work. If she gets to work in 30 minutes, how far does she have to travel to get to work? Write the domain and range of this function. Is this function continuous or discrete?

Answer 1

She travels 45 mph for 30 minutes = 1/2 hour

Distance = rate * time

= 45 mph * 1/2 hour

= 22.5 miles

Distance/rate = time

So the function is Time T(s) = 22.5/s where s is the speed in miles per hour.

It is a continuous function with domain and range of real numbers. It is possible

that she can drive a fractional value, as is the time.

Ex. If she drives 50.5 mph, then it will take her 22.5/50.5 = 0.4455 hours = 26 minutes and 44 seconds