Question

Emily wants to have her résumé printed. The printing company charges $24.50 for the first 100 résumés, and then a flat rate for each additional 100 résumés. Emily pays $48.50 for 300 résumés. ​ Write a piecewise function that describes this situation. ​ r(x) = and calculate how much is the flat rate for each additional set of 100 résumés after the first 100 résumés are purchased? Please label your answer and round to two decimal places (hundredths) if needed.

Answer 1

________{$24.50 if x ≤ 1

r(x) - - - - - {24.50 + f(3 - 2) if x > 1

Flat rate paid for each additional 100 = $12

Explanation:

Given that :

Cost of first 100 resume = $24.50

Flat rate for each additional 100 resumes

Total amount paid for 300 resumes = $48.50

Let x = number of sets of 100 resumes

Number of sets of 100 copies = {1, 2, 3}

Since first 100 copies = $24.50

r(x) = cost of printing resume

r(x) = 24.50 if x ≤ 1

Cost of additional 100 equals ;

Let flat rate paid for each additional 100 = f

r(x) = 24.50 + f(3 - 1) if x > 1

________{$24.50 if x ≤ 1

r(x) - - - - - {24.50 + f(3 - 2) if x > 1

The flat rate paid for additional 100 resume ;

(Total amount paid - cost of first 100) / 2

($48.50 - $24.50) / 2

$24 / 2

= $12