Individual tickets to the Mathtown Zoo cost $10 each. A Frequent Visit pass can be purchased for $60, and then each visit costs $5.
a. Write an equation that models the cost of individual tickets, C, as it relates to the number of tickets purchased, n.
b. Write an equation that models the cost of buying tickets with a Frequent Visit pass, C, as it relates to the number of tickets purchased, n.
c. Create a graph that shows both relations.
The Attempt at a Solution
a. an equation that models the cost of individual tickets can be written as:
t = c x n
Where t is the total cost, c represents the individual tickets, and n represents number of tickets purchased.
b. equation can be written as: t = cn + 60
Where c represents the cost of a ticket with a frequent pass ($5), n represents the number of tickets purchased, t represents the total cost and 60 represents the cost to buy the frequent visit pass.
c. This was my main problem, wouldn't the graph be huge since we have to show both relations of the 2 formulas? for example if my 2 formulas are correct how would i fit the "t=cn + 60" formula. it would be huge, for eg so you purchase one ticket and it cost $5. That there would have to be at the point 65.
If i made no sense above sorry .
anyway is the formulas wrong and if not would i have to make the graph large or just use larger numbers as in on the y axis it would be like : 10, 20 ,30 etc?