It costs $ 700 to start up a business of selling hot dogs. Each hot dog costs $ 0.60 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 600?
To determine the number of hot dogs that will be produced if the total cost is $1,600, we need to set up and solve an equation using the given information.
Let x represent the number of hot dogs produced.
According to the problem, the cost of producing each hot dog is given as $0.60.
The equation to represent the total cost is:
Total cost = Cost per hot dog * Number of hot dogs + Start-up cost
1,600 = 0.60x + 700
Now, we can solve this equation for x:
1,600 - 700 = 0.60x
900 = 0.60x
Divide both sides of the equation by 0.60:
900 / 0.60 = x
x = 1,500
Therefore, if the total cost is $1,600, the number of hot dogs that will be produced is 1,500.