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 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns 2 dollars profit for each hot dog sold. Which equation represents y , the profit earned by the hot dog stand for x hot dogs sold?
Answer
A
y is equal to 2 x minus 48
B
y is equal to 48 x plus 2
C
y is equal to 2 x plus 48
D
y is equal to 48 x minus 2
Explanation
The stand earns $2 for each hot dog sold, so selling x hot dogs brings in 2x dollars. The $48 supply cost is a fixed expense, which must be subtracted from that amount: y = 2x − 48. Therefore, choice A, “y is equal to 2x minus 48,” represents the profit.
AI-written and checked against the verified answer.