Question

Teach-Tech is an online job listing site for prospective teachers. The charge to teachers

looking for jobs is $19 per week, for the first 4 weeks, to post their resumes. After four weeks
the cost is $7 per week.
a. If w represents the number of weeks, represent the cost cw) as a piecewise function
b. Find the cost of listing a resume for 8 weeks.

Answer 1

To represent the cost of listing a resume on Teach-Tech as a piecewise function, we can break it down into two parts: the cost for the first 4 weeks and the cost after 4 weeks. For 8 weeks, the cost is $56.

Step-by-step explanation:

To represent the cost of listing a resume on Teach-Tech as a piecewise function, we can break it down into two parts: the cost for the first 4 weeks and the cost after 4 weeks. Let's denote the number of weeks as 'w' and the cost as 'c(w)'.

For the first 4 weeks, the cost is $19 per week, so we can write it as:

c(w) = $19w, for 1 ≤ w ≤ 4

After 4 weeks, the cost is $7 per week, so we can write it as:

c(w) = $7w, for w > 4

Now, let's find the cost of listing a resume for 8 weeks. Since 8 is greater than 4, we'll use the second part of the piecewise function. Substituting w = 8, we get:

c(8) = $7 * 8 = $56

Answer 2

a) f(w) = 19w if x≤4

f(w) = 7w if 4∠w

b) Because 8 weeks is past 4 weeks, we use the second function to solve:

f(w) = 7(8) or $56