Question

A water park offers a season pass for $64 per person which includes free
admission and free parking. Admission for the water park is $14.50 per person. Parking is normally $5 for those without a season pass.

a. How many visits to the water park would you have to use for
the season
pass to be a better deal?

b. What would the total cost be for 3 visits with and without a season pass?

Answer 1

Answer:

Part a) The number of visits mus be greater than or equal to $4$

Part b)

with season pass

The total cost is $\ 64$

without season pass

The total cost is $\ 58.5$

Step-by-step explanation:

Let

x---> the number of visit to the water park

y---> the total cost to visit the water park per person

we know that

$y=(14.50+5)x=19.5x$  

so

Part a) How many visits to the water park would you have to use for the season pass to be a better deal?

For $y=\ 64$

Substitute the value of y in the equation and solve for x

$64=19.5x$

$x=64/19.5=3.28\ visits$

therefore

The number of visits mus be greater than or equal to $4$

Part b) What would the total cost be for 3 visits with and without a season pass?

with season pass

The total cost is $\ 64$

without season pass

The total cost for $x=3\ visits$ is

$y==19.5(3)=\ 58.5$