Question

You are going camping and are looking for two different campgrounds. quintons quagmire charges 50 dollar reservation fee plus 75 dollars per day. woody woodshack charges 110 dollar reservation fee plus 60 dollars per day. a. when will the two campgrounds be the same price? b. if you are planning on staying for a week, which campground should you stay at to save money?

Answer 1

A) At 4 days the campgrounds will be the same price.

B) It would be less expensive to stay at Woody Woodshack.

Explanation:

y = the total cost

x = the number of days.

y = 75x + 50

y = 60x + 110

Set them equal to each other and solve.

75x + 50 = 60x + 110 Subtract 60x from both sides of the equation

15x + 50 = 110 Subtract 50 from both sides of the equation

15x = 60 Divide both sides by 15

x = 4

7 days

Quintons Quagmire:

y = 75x + 50

y = 75(7) + 50

y -= 525 + 50

y = 575

Woody Woodshack:

y = 60x + 110

y = 60(7) + 110

y = 420 + 110

y -= 530