Art At a fair an artist draws caricatures He pays the fair D

Art At a fair, an artist draws caricatures. He pays the fair Dollar30 for space to set up his table, and Dollar2 for each drawing that he sells. Write a function rule to represent the artist\'s total payment to the fair as a function of the number of drawings he sells. What is the initial payment and rate of change? Reasoning What input is paired with the output Dollar54? What does this input represent?

Solution

Let the artist sells x paintings.He pays $2 for each painting.

$30 for space ( fixed

a) So, Total payment to the fair : y = 30 +2x

Intial payment is gien by x=0 i.e y = $ 30

Rate of change = slope of function = $2 for 1 painting.

b) y = $54.Solve for x : 54 = 30 + 2x

24 = 2x ----> x = 12 paintings were sold by painter