Stitz-Zeager_College_Algebra_e-book

we close this section with a new look at dierence

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f (x) = 2 x +1 to be a constant function since its domain is all real numbers (why?) and 2$$+ $ x2 $ 1 2x2 + 2 f (x) = 2 = $ =2 x +1 x2 $$ $$+ 1 The following example uses linear functions to model some basic economic relationships. $ 118 Linear and Quadratic Functions Example 2.1.5. The cost, C , in dollars, to produce x PortaBoy4 game systems for a local retailer is given by C (x) = 80x + 150 for x ≥ 0. 1. Find and interpret C (10). 2. How many PortaBoys can be produced for $15,000? 3. Explain the significance of the restriction on the domain, x ≥ 0. 4. Find and interpret C (0). 5. Find and interpret the slope of the graph of y = C (x). Solution. 1. To find C (10), we replace every occurrence of x with 10 in the formula for C (x) to get C (10) = 80(10) + 150 = 950. Since x represents the number of PortaBoys produced, and C (x) represents the cost, in dollars, C (10) = 950 means it costs $950 to produce 10 PortaBoys for the local retailer. 2. To find how many PortaBoys can be produced for $15,000, we set the cost, C (x), equal to 15000, and solve fo...
View Full Document

Ask a homework question - tutors are online