The cost of movie tickets follows an arithmetic pattern.
The recursive formula is The domain of the function is:The given parameters are:
--- the cost of one movie ticket
--- the cost of two movie tickets
(a) The recursive formula
Express 30.50 as 16.50 + 14
Express 1 as 2 -1
Substitute n for 2
Express as a function
Hence, the recursive formula is
(b) The domain
The number of tickets cannot be negative.
So, the domain of the function is:
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Step-by-step explanation:
Let
n -----> number of tickets
C ----> represent the cost of buy n tickets online
we have the ordered pairs
(1,16.50) and (2,30.50)
Find out the slope of the linear equation
The formula to calculate the slope between two points is equal to
substitute the values
Find the equation of the line in slope intercept form
we have
substitute
substitute
The domain of the function is all positive integers (whole numbers) including zero
{0,1,2,3,4,...}