Radical Expressions
To get to a friend’s house from his apartment, a student walks 4 blocks west and 6 blocks south. Using the origin of a coordinate plane as the starting point,
Find the coordinates of the location of the friend’s apartment.
How far from the student’s apartment is the friend’s house?
Radical Equations
The owner of a health foods store determines that the demand equation for selling a nutritional supplement is where p is the price in dollars and x is the number of bottles demanded per week.
Solve the equation for x.
How many bottles are demanded per week if the price of the supplement is $13.50?
Quadratic Equations and Functions
An open box is to be made from a 25-in. by 40-in. rectangular piece of cardboard by cutting squares of equal area from each corner and turning up the sides. If the specifications require the base of the box to have an area of 700 sq. in. what size squares should be cut from each corner?
Solve the above problem using any methods, concepts, and procedures learned in this module. All work must be shown and completed in an equation editor.
Exponential and Logarithmic Functions
A magazine publisher determines that the circulation, C, in thousands, of its magazine has grown according to the equation, where x represents the number of years after the magazine was launched.
Solve the equation for x.
Approximately how many years after it was launched did the magazine circulation reach 1,000,000?
Conic Sections and Non-linear Systems
The revenue, R, of an electronics manufacturer for selling x handheld organizers is given by. The revenue of a competing manufacturer for selling similar products is. Under what circumstances will both manufacturers have the same revenue?
