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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


Sagot :

Answer:

y = 2x - 48

Step-by-step explanation:

2x represents $2 profit for each hot dog

It costs the owner $48 for the supplies, so it's 2x - 48

y = 2x - 48 equation represents the profit earned by the x hot dog sold.

What is linear equation?

" A linear equation is an algebraic expression in which highest power of the given variable is equals to one."

According to the question,

x represents the number of hot dogs sold

y represents the total profit earned

Cost required for supply = $48

Profit on each hot dog sold = $2

As per the condition given we have

Required linear equation

y = 2x - 48

Hence, y = 2x - 48 equation represents the profit earned by the x hot dog sold.

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