Question

According to a survey, the number of students that will buy tickets is related to the ticket price by the equation S(t) = -40t + 2000, where S represents the number of tickets sold and the ticket price in dollars. Write an equation that will give the Income from ticket sales as a function of the ticket price.

a. I(t) = -40t + 2000
b. I(t) = 2000 - 40t
c. I(t) = 40t - 2000
d. I(t) = 40t + 2000

Answer 1

The equation that gives the income from ticket sales as a function of the ticket price is I(t) = 40t - 2000.

Step-by-step explanation:

The equation that gives the income from ticket sales as a function of the ticket price is I(t) = 40t - 2000. This equation represents a linear relationship between the income (I) and the ticket price (t). The coefficient of t, which is 40, represents the amount of money earned from each ticket sold, and the constant term of -2000 represents additional income that is independent of the ticket price.