Carly is able to sell 800 raffle tickets when each ticket costs $3. When she increases the price by $0.05, the revenue increases, but the number of tickets sold drops by 10. The relation can be modelled by the equation R =-0.5x + 10x + 2400, where R is the revenue from ticket sales in dollars and x is the number of times the price increases by $0.05. Use a graphing calculator to assist you in answering the following questions. %D a) Find the maximum revenue. b) By how much does Carly have to increase the ticket price to earn the maximum revenue? c) Calculate the new ticket price to earn the maximum revenue.

The taxes for a primary residence can be described by a linear relationship. Find the equation for the relationship if the taxes for a home valued at $200,000 are $2400, and the taxes are $3150 when the home is valued at $250,000. Let y be the taxes and x the value of the home. Write the equation in slope-intercept form.

jim talk to a college admission advisor. the advisor tells him that the total cost of 3 credits is $700 and the cost of 9 credits is $1900. find a linear equation relating the number of credits taken and the total cost

2. In 2012, the campus print center purchased a multi-function printer/copier for $12600, and a high capacity printer for $11000. The resale value of the multi-function machine is decreasing by $1800 per year and the resale value of the high capacity machine is decreasing by $1000 per year. a. Write an equation that gives the resale value, y, ofthe b. Write an equation that gives the resale value, y, of the multi-function machine x years after 2012. high capacity machine x years after 2012. c. Use your equations to determine the year in which the resale values of the two machines will be equal.