Answer:
Rough riders is the better deal if a customer plans to ride for 2 hrs.
Step-by-step explanation:
Let h be the number of hours.
We have been given that Happy Trails Ranch charges 25.00 for equipment rental plus 8.50 to ride a horse. So rental for h hours will be 8.50h. The total charges to ride horse for h hours will be,
[tex]H(h)=8.50h+25[/tex], where [tex]H(h)[/tex] is total rental charged for h hours by Happy trails ranch.
We are also told that Rough Riders charges 20.75 for equipment rental plus 9.75 to ride. So rental for h hours will be 9.75h. The total charges to ride horse for h hours will be,
[tex]R(h)=9.75h+20.75[/tex], where [tex]R(h)[/tex] is total rental charged for h hours by Rough Riders.
Let us find the rental for riding a horse for two hours by Happy Trails Ranch.
[tex]H(2)=8.50*2+25[/tex]
[tex]H(2)=17+25[/tex]
[tex]H(2)=42[/tex]
Now let us find total rental charged for riding a horse for 2 hours by Rough Riders.
[tex]R(2)=9.75*2+20.75[/tex]
[tex]R(2)=19.5+20.75[/tex]
[tex]R(2)=40.25[/tex]
We can see the total rental charged for 2 hours by Rough Riders is $40.25, while Happy Trails Ranch charged $42 for 2 hours of horse riding.
Since $40.25 is less than $42, therefore, Rough riders is the better deal if a customer plans to ride for 2 hrs.