Question

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?

Answer 1

Answer:

$y=2x-48$

Step-by-step explanation:

Let

y -----> the profit earned by the hot dog stand daily

x ----> the number of hot dogs sold

we know that

The linear equation that represent this problem is equal to

$y=2x-48$

This is the equation of the line into slope intercept form

where

$m=2\frac{\ }{hot\ dog}$ ----> is the slope

$b=-\ 48$ ---> is the y-intercept (cost of the day's supply)