- The number of cubic yards of dirt,
*D*, needed to cover a garden with area*a*square feet is given by .- A garden with area 5000 ft
^{2}requires 50 cubic yards of dirt. Express this information in terms of the function*g*. - Explain the meaning of the statement .

- A garden with area 5000 ft

- Select all of the following graphs which represent
*y*as a function of*x*.

- For each pair of functions and find and
- and

- Write the following as a composition of two functions.

- The supply in thousands of items, for custom phone cases can be modeled by the equation , while demand can be while the demand can be modeled by , where
*p*is in dollars. Find the equilibrium price and quantity, the intersection of the supply and demand curves.

- At a price of $1.94 per bushel, the supply of corn is 9,800 million bushels and the demand is 9,300 million bushels. At a price of $1.82 per bushel, the supply is 9,400 million bushels and the demand is 9,500 million bushels. What is the demand function?

- The population of a certain city was 23,400 in 2002 and increased to 27,800 in the year 2006. If the population grew at a constant rate (that is, it grew linearly) write the equation for the population as a function of time. ( Use the year 2002 corresponds to t = 0)

- Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II, depends on the number of new policies, n, he sells during the week. Last week he sold 3 new policies, and earned $760 for the week. The week before, he sold 5 new policies, and earned $920. Find an equation for I(n), and interpret the meaning of the components of the equation.

- A manufacturer can produce tires at a cost of $20 apiece. It is estimated that is the tires are sold for dollars apiece, consumers will buy of them each month. Express the manufacturer’s monthly profit as a function of price, graph the function, and use the graph to determine the optimal selling price. How many tires will be sold each month at the optimal price?

- Suppose that when the price of a certain commodity is dollars per unit, then hundred units will be purchased by consumers, where . The cost of producing hundred units is hundred dollars is hundred dollars
- Express the profit obtained from the sale of hundred units as a function of Sketch the graph of the profit function.
- Use the profit curve found in part (a) to determine the level of production that results in maximum profit. What unit price p corresponds to maximum profit

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