Question

Happy Trails Ranch charges 25.00 for equipment rental plus 8.50 to ride a horse. Rough Riders charges 20.75 for equipment rental plus 9.75 to ride. which is the better deal if a customer plans to ride for 2hrs

Answer 1

Rough riders is the better deal if a customer plans to ride for 2 hrs.

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,

`H(h)=8.50h+25`, where
`H(h)` 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,

`R(h)=9.75h+20.75`, where
`R(h)` 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.

`H(2)=8.50*2+25`

`H(2)=17+25`

`H(2)=42`

Now let us find total rental charged for riding a horse for 2 hours by Rough Riders.

`R(2)=9.75*2+20.75`

`R(2)=19.5+20.75`

`R(2)=40.25`

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.