The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. it costs the owner $48 dollars
each morning for the day's supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. which
equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
y=48x-2
y=48x+2
y=2x-48
y=2x+48

Its the third one because, he gets $2 for each hot dog but we dont know ow many hot dogs are sold everyday. We also know that at the end of the day $48 is taken out for supplies to make the hot dogs.

Hope this helped! :3

y = 2x - 48

Step-by-step explanation:

The first two equations aren't true because in the problem, it says that each hot dog costs $2.

Also it says x represents the amount of hot dogs sold. So 2 would be multiplied by x not 48.

The last equation isn't correct because, in the beginning of the problem it says the owner has to pay $48 each morning for supplies. So the owner loses $48 dollars, he does earn $48 like it shows in the last equation.

The only equation that makes sense and is correct, would be the third equation, which is y = 2x - 48

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50