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?

Question

Mathematics

Jayden Walton

5 April, 13:34

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?

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Snowy · 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.