Question

Yoko needs 300 copies of her resume printed. Dakota printing charges 19.50$ for the first 200 copies and 9$ for every 100 additional copies. If the number of sets of 100 resumes is represented by r, express the cost of the resumes c(r) algebraically as a piecewise function How much will 300 copies cost, including a sales tax of 4 1/2%? Round to the nearest cent.

Answer 1

A. c(r)=$19.5 if r < 2

c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2

B. $29.78

Explanation:

A. Based on the information given if we are to express the cost of the resumes which is c(r) algebraically as a piecewise function what we would have will be:

c(r)=$19.5 when r represent an INTERGER and is less than 2

c(r)=$19.5+(r-2) ($9) (1+0.045)

c(r)=$19.5+(r-2) ($9) (1.045) when r represent an INTERGER and is greater than 2

Therefore to express the cost of the resumes c(r) algebraically as a piecewise function will be: c(r)=$19.5 if r < 2

c(r)=$19.5+(r-2) ($9) (1.045) if r ≥ 2

B. Calculation for How much will 300 copies cost, including a sales tax of 4 1/2%

Cost of 300 copies=($19.5+$9)+($19.5+$9) (0.045)

Cost of 300 copies=$28.5+$28.5(0.045)

Cost of 300 copies=$28.50+$1.28

Cost of 300 copies=$29.78

Therefore How much will 300 copies cost, including a sales tax of 4 1/2% will be $29.78