Question

Ricardo wants to rent a personal watercraft for a beach party. Wavy Dave's charges $17. 50 per hour plus a $20 fuel fee. Sun'N'Fun charges $15. 00 per hour plus a $30 fuel fee. After how many hours will Sun'N'Fun be cheaper than Wavy Dave's?.

Answer 1

Sun'N'Fun becomes cheaper than Wavy Dave's after more than 4 hours of renting a personal watercraft. This is determined by setting up and solving a linear equation representing the cost structures of both rental services.

Step-by-step explanation:

To determine after how many hours Sun'N'Fun is cheaper than Wavy Dave's, we need to set up and solve a linear equation based on the cost structures provided by each rental service. Let h represent the number of hours for which the personal watercraft is rented.

For Wavy Dave's, the total cost C is given by:

CWavy Dave's = $17.50h+ $20

For Sun'N'Fun, the total cost C is given by:

CSun'N'Fun = $15.00h + $30

To find when Sun'N'Fun becomes cheaper, we set CWavy Dave's > CSun'N'Fun and solve for h as follows:

$17.50h + $20 > $15.00h + $30

Subtract $15h and $20 from both sides to get:

$2.50h > $10

Divide both sides by $2.50 to get:

h > 4

Therefore, after more than 4 hours, Sun'N'Fun will be cheaper than Wavy Dave's.

Answer 2

5 hours

Step-by-step explanation:

(h = hour)

Wavy Dave's:

h1=20 + 17.50= 37.50

h2= 20 + 17.50 + 17.50 = 55

h3= 20 + 17.50 + 17.50 + 17.50 = 72.50

h4 = 20 + 17.50 + 17.50 + 17.50 + 17.50 = 90

h5= 20 + 17.50 + 17.50 + 17.50 + 17.50 + 17.50 = 107.50

Sun'N'Fun:

h1= 30 + 15 = 45

h2= 30 + 15 + 15 = 60

h3= 30 + 15 + 15 + 15 = 75

h4= 30 + 15 + 15 + 15 + 15 = 90

h5= 30 + 15 + 15 + 15 + 15 + 15 = 105