An equation in the point-slope form to represent the total cost y for x tickets is [tex]y-15 = 2(x-2)\\[/tex]
Let the cost of ticket be C
Let the number of tickets be x
The coordinate for the cost of a ticket will be written as: (x, C)
If the cost for one ticket to a jazz concert is $7.50, this is represented in coordinate form as (1, 7.50)
If two tickets cost $15, his is represented in coordinate form as (2, 15)
Get the slope of the equation
[tex]m =\frac{15-7.5}{2-1}\\m=\frac{7.5}{1}\\m = 7.5\\[/tex]
Get the equation in point-slope form
[tex]y-y_1 = m(x-x_1)\\[/tex]
Substitute the slope and one of the point into the formula:
[tex]y-15 = 2(x-2)\\[/tex]
Hence an equation in the point-slope form to represent the total cost y for x tickets is [tex]y-15 = 2(x-2)\\[/tex]
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