Art’s printing service charges $27.50 to print 100 high-quality copies of a one-page resume. each additional set of 100 copies costs $14.99. express the cost, c(r), of printing r sets of 100 resumes, as a piecewise function.

Step-by-step explanation:

Given

Art's printing Service charges $27.50 to print 100 high-quality copies of a one-page resume.

also each additional set of 100 copies costs $14.99

so the cost c(r) of printing sets of 100 resumes as a piecewise function is given by

where r is the no of extra  sets.

for r=1 c(1)=27.50+14.99=$42.49

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

yep b and c r the correct got it! : )