91Ó°ÊÓ

On the same axes, graph (and label with the correct equation) three lines that go through the point (0,2) and have the following slopes: a. \(m=\frac{1}{2}\) b. \(m=2\) c. \(m=\frac{5}{6}\)

Find an equation to represent the cost of attending college classes if application and registration fees are \(\$ 150\) and classes cost \(\$ 120\) per credit.

a. Write an equation that describes the total cost to produce \(x\) items if the startup cost is \(\$ 200,000\) and the production cost per item is \(\$ 15\). b. Why is the total average cost per item less if the item is produced in large quantities?

Points that lie on the same straight line are said to be collinear. Determine if the following points are collincar. a. \((2,3),(4,7),\) and (8,15) b. \((-3,1),(2,4),\) and (7,8)

Your bank charges you a \(\$ 2.50\) monthly maintenance fee on your checking account and an additional \(\$ 0.10\) for each check you cash. Write an equation to describe your monthly checking account costs.

The \(\operatorname{cost} C(x)\) of producing \(x\) items is determined by adding fixed costs to the product of the cost per item and the number of items produced, \(x\). Below are three possible cost functions \(C(x),\) measured in dollars. Match each description [in parts (e) \(-(\mathrm{g})]\) with the most likely cost function and explain why. a. \(C(x)=125,000+42.50 x\) b. \(C(x)=400,000+0.30 x\) c. \(C(x)=250,000+800 x\) e. The cost of producing a computer f. The cost of producing a college algebra text \(\mathrm{g}\). The cost of producing a CD

A new \(\$ 25,000\) car depreciates in value by \(\$ 5000\) per year. Construct a linear function for the value \(V\) of the car after years.

The state of Pennsylvania has a \(6 \%\) sales tax on taxable items. (Note: Clothes, food, and certain pharmaceuticals are not taxed in Pennsylvania.) a. Create a formula for the total cost (in dollars) of an item \(C(p)\) with a price tag \(p .\) (Be sure to include the sales tax.) b. Find \(C(9.50), C(115.25),\) and \(C(1899) .\) What are the units?

a. Write an equation for the line parallel to \(y=4-x\) that passes through the point (3,7) . b. Find an equation for the line perpendicular to \(y=4-x\) that passes through the point (3,7) .

Identify the slopes and the vertical intercepts of the lines with the given equations. a. \(y=3+5 x\) b. \(f(t)=-t\) c. \(y=4\) d. \(Q=35 t-10\) e. \(f(E)=10,000+3000 E\)