SOLUTION: Here is the Problem: I have a family of 4 (2 adults, 2 children). I need to compare the cost for between a daily pass and yearly pass for the aqaurium. The family will generall

Question 433072: Here is the Problem:
I have a family of 4 (2 adults, 2 children). I need to compare the cost for between a daily pass and yearly pass for the aqaurium. The family will generally visit the aqauriom 5 times per year. Which option will be most advantageous based on the number of yearly visits.
The cost of the Yearly pass is as follows:
Adult Yearly pass is $62.95
Child yearly Pass is $45.95
The Daily pass is as follows:
Adult pass is $24.95
The child is $18.95
I need to develop a linear algebraic equation using either substituion or elimination method showing where the two the two cost options are equivilalent, showing all work.
I also then need to depict this on a graph.
Please help.
I can be reached at oasisrm@hotmail.com
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have a family of 4 (2 adults, 2 children). I need to compare the cost for between a daily pass and yearly pass for the aquarium. The family will generally visit the aqaurium 5 times per year. Which option will be most advantageous based on the number of yearly visits.
The cost of the Yearly pass is as follows:
Adult Yearly pass is $62.95
Child yearly Pass is $45.95
---
Yearly pass cost: 2*62.95+2*45.95 = 217.80
--
The Daily pass is as follows:
Adult pass is $24.95
The child is $18.95
---------------------------------------
Let x be the number of days the family attends the aquarium.
Daily pass cost: x(2*24.95+2*18.95) = x(2*24.95+2*18.95) = 87.8x
----------------------------------------------------------------
I need to develop a linear algebraic equation using either substituion or elimination method showing where the two the two cost options are equivalent, showing all work.
I also then need to depict this on a graph.
------
Equations:
Yearly cost = 217.8
Daily cost = 87.8x
-----
Equivalent means the costs are the same:
Solve for "x":
87.8x=217.8
x = 2.48 days.
---
If the family goes to the aguarium 1 or 2 days the daily
pass is their best buy.
If the family goes to the aquarium 3,4, or 5 days the
yearly pass is the best buy.
================================
Cheers,
Stan H.

RELATED QUESTIONS
i need to compare a yearly pass to a zoo versus a daily pass and determine which is most... (answered by jim_thompson5910)

ok i have to define a variable and write an equation to model the situation.then... (answered by elima)

The walker family are going swimming. The cost of an adult ticket is 'a' and the cost of... (answered by Fombitz)

A family of 2 adults and 5 children have their names in a bowl. There needs to be picked... (answered by ewatrrr)

I have been having a time with this word problem: Admission to the Indianapolis... (answered by kev82)

please help me solve this question. "A group of 3 adults and 5 children pay a total of... (answered by ankor@dixie-net.com)

A family of 4 (2 children and 2 adults) went to the aquarium. If each adult ticket costs... (answered by checkley79)

solve. the cost of admission to the spring carnival was $50 for a group of 9 children... (answered by ankor@dixie-net.com)