Question

douglas opens a homemade stand. he models the daily profit, ( f(x) ), in dollars, of the lemonade stand ( x ) days after opening, using the given equation.
( f(x)=20 x-120 )
what is the meaning of the number 20 in this context?
a the daily profit ( x ) days after opening.
b the amount of profit made each day.
c the number of days after opening.
d the total profit on the day the stand opened

Explanation:

The equation \(f(x)=20x - 120\) is in the form of a linear function \(y = mx + b\), where \(m\) is the slope. In the context of a profit - time relationship, the slope represents the rate of change of profit with respect to time. Here, \(x\) is the number of days after opening. The coefficient of \(x\) (which is \(20\)) represents how much the profit changes per day.

Answer:

B. The amount of profit made each day