It costs $ 500 to start up a business of selling hot dogs. Each hot dog costs $ 0.75 to produce. Let y be the cost in dollars of producing x hot dogs. How many hot dogs will be produced if total cost is $ 1 comma 400?
Let's assume that the number of hot dogs produced is represented by the variable x.
The cost of producing each hot dog is $0.75, and the total cost of producing x hot dogs is $1,400. The startup cost of $500 doesn't affect the cost per hot dog.
So, the equation we have is: Total Cost = Startup Cost + Cost per Hot Dog * Number of Hot Dogs
$1,400 = $500 + $0.75x
Now, let's solve for x:
$0.75x = $1,400 - $500
$0.75x = $900
x = $900 / $0.75
x = 1,200
Therefore, 1,200 hot dogs will be produced if the total cost is $1,400.