Question

The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) = 0.04t3 – 0.1t2 + 5.5t dollars to transcribe the physician's. Notes to an electronic document each month. What is the instantaneous rate of change when the transcriptionist has spent 100 hours transcribing records? A) $118.50 B)$395.50 C)$1,185.50 D)$1,195.50

Answer 1

Answer:

B. $39550

Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

We are told that the function of the cost is

$C(t) = 0.04t^3- 0.1t^2 + 5.5t$

instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above

substituting we have

$C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550$

$39550