OBJECTIVES 5-1 CLASSIFIED ADS

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Presentation transcript:

OBJECTIVES 5-1 CLASSIFIED ADS Banking 5/9/2018 5-1 CLASSIFIED ADS OBJECTIVES Compute the cost of classified ads for used cars. Compute the cost of sales tax on automobiles. Chapter 1

Key Terms sales tax – A percentage paid to the government of sales on products or services domain – The set of all first elements, (x-values) of ordered pairs piecewise function – Also called a split function; it gives a set of rules for each domain of the function; c(x) is computed differently depending on the values of x cusp – On a graph, where two lines of a piecewise function meet

How do buyers and sellers use classified ads for automobiles? Here are some common car options that might be listed in a classified ad?

Example 1 Kerry purchased a used car for $7,400 and had to pay 8½% sales tax. How much tax did she pay?

CHECK YOUR UNDERSTANDING The sales tax rate in Mary Ann’s state is 4%. If she purchases a car for x dollars, express the total cost of the car with sales tax algebraically.

Example 2 The cost of a classified ad is determined by its length. John plans to sell his car and places a 5-line ad. The newspaper charges $31 for the first two lines and $6 per extra line to run the ad for one week. What will John’s ad cost to run for two weeks?

EXAMPLE 3 Jason works for the Glen Oaks News and is writing a program to compute ad costs. He needs to enter an algebraic representation of the costs of an ad. His company charges $42.50 for up to five lines for a classified ad. Each additional line costs $7. Express the cost of an ad as a piecewise function.

CHECK YOUR UNDERSTANDING The Smithtown News charges $38 for a classified ad that is 4 or fewer lines long. Each line above four lines costs an additional $6.25. Express the cost of an ad as a piecewise function.

Example 4 Roxanne set up the following piecewise function which represents the cost of an auto classified from her hometown newspaper. c(x) = 41.55 when x ≤ 6 41.55 + 5.50(x − 6) when x > 6 If x is the number of lines in the ad, use words to express the price c(x) of a classified ad from this paper.

CHECK YOUR UNDERSTANDING The following piecewise function gives the price p(w) of a classified ad in a classic car magazine. If w is the number of lines in the ad, use words to express the price p(w) of a classified ad from this paper. 60 when w ≤ 5 60 + 8(w − 5) when w > 5 p(w) =

Graph the piecewise function from Check Your Understanding (3). EXAMPLE 5 Graph the piecewise function from Check Your Understanding (3).

CHECK YOUR UNDERSTANDING Find the cusp of the graph of the following piecewise function. 42.50 when x ≤ 5 42.50 + 7(x − 5) when x > 5 c(x) =

Classwork #1 Sec 5.1 Workbook pg 65-66.