Homework Question

HelpMehhhhh

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You travel by car at an average speed s, to a destination 50km from your home and stay for 2 hours. Then you
return home at a speed that is 10km/h slower than you went on the way there.
a) Write a function that models the total time of the trip, t, as a function of s. Provide a domain on the function
that makes sense within the context of the problem.

I need to write a rational function but im not sure how to do it with this information, from what I understand I wrote t(s) =s+50/s-10 but im not very confident on this any advice would be appreciated
 
50/s -10?

50km is the distanne and the average speed is s Subtracting 10 km because they are driving 10km slower then s

I don't think this is right though, do the 2 hours have any affect in the equation either?
 
total time = time to get there + stop time + time to return

[MATH]\dfrac{50}{s-10}[/MATH] is the return time ... what about the time to get there and the 2 hr stop?
 
Last edited:
total time = time to get there + stop time + time to return

[MATH]\dfrac{50}{s-10}[/MATH] is the return time ... what about the time to get there and the 2 hr stop?
could you explan a bit more? would I put the two in from like 2 (50/s-10). The time to get there was 50/s but I don't see how the 2 hours play a factor here
 
you're making this much harder than it really is ...

total time = time to get there + stop time + time to return

[MATH]t(s) = \dfrac{50}{s} + 2 + \dfrac{50}{s-10}[/MATH]
if you are required to combine these three terms, what would you need to find first?

if not, leave it as is.
 
you're making this much harder than it really is ...

total time = time to get there + stop time + time to return

[MATH]t(s) = \dfrac{50}{s} + 2 + \dfrac{50}{s-10}[/MATH]
if you are required to combine these three terms, what would you need to find first?

if not, leave it as is.
ah, so just find the command denominator and add them up?
 
How would making the domain work then ? There is nothing limiting except that it needs to be greater then 10km/h, so is that the entire domain?
 
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