Question

You hate it when rabbits run into your yard and eat your garden. to prevent this you can rent a wolf to scare the rabbits at Wolf em up they will devlier a live wolf to door for 17.50 and you can keep the liely fellow for 2.25 per day. At fangs r us they will deliver a wolf for 24.25 and you can keep it for 1.50 per day. ( at both businesses they will prorate the rental fee for partial days.a. on what day number will the number of days rented and the cost of renting a wolf be the same at both busniesses?b. what will the cost be on that day?

Answer 1

At Wolf-M-Up,  Cost = 17.50 + 2.25(number of days)

At Fangs-R-Us, Cost = 24.25 + 1.5(number of days)

The costs are the same when   [ 17.50 + 2.25 D  =  24.25 + 1.5 D ].

Subtract  1.5D  from each side:  17.50 + 0.75 D  =  24.25

Subtract  17.50  from each side:  0.75 D  =  6.75

Divide each side by  0.75 :                D  =  9 days

Substitute  9  for the number of days at either company,
and the cost is  $37.75 .

If you only want the wolf for a few days, then Wolf-M-Up is cheaper.

If you plan to keep it for more than 9 days, then Fangs-R-Us will cost less.

For exactly 9 days, both wolves will cost the same  $37.75 .