1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
2 years ago
5

The concentration C (in mg/cc) of a drug in a patient's bloodstream is related to the time t (in hours) after injection in such

a way that as t changes from 0 to 12, C changes from 0.7 to 0.1. Find the average rate of change of C with respect to t.
I have a calculus question similar to this one and I am unsure of how to begin working on this problem.
Mathematics
1 answer:
valkas [14]2 years ago
5 0

Answer: -0.05 mg/cc*h

Step-by-step explanation:

Here we have the relation:

ConcentrationVsTime.

If we want to find the average rate of change, we can find the slope of a line that passes through the extremes of each interval: (tmin, Cmin) and (tmax, Cmax)

The interval for the time is:

0h to 12h.

The interval for the concentration is:

0.7 mg/cc to 0.1mg/cc.

Then we can use the points:

(0h, 0.7mg/cc) and (12h, 0.1mg/cc)

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then in this case the slope (or rate of change) is:

a = (0.1mg/cc - 0.7mg/cc)/(12h - 0h) = (-0.6mm/cc)/12h = -0.05 mg/cc*h

You might be interested in
Rewrite this expression as a power of the given number.<br><br> 4^2 = 2^
Mnenie [13.5K]
The answer is 2^4, since 4^2 is 16, 2•2=4 4•2=8 8•2=16
4 0
3 years ago
Read 2 more answers
Use the point-slope formula to write an equation of the line given the following information. Write the final answer in slope-
Ilya [14]

Answer:

y=-x-9

Step-by-step explanation:

3 0
1 year ago
The height of a ball thrown directly up with a velocity of 10 feet per second from a initial height of of 100 feet is given by t
enyata [817]
<span>A. 1.4 seconds...Hope this helps</span>
5 0
2 years ago
Read 2 more answers
What is the value of x in this equation?<br> x - 1/2 = 3 1/6
Ludmilka [50]

Answer:

x= 3 2/3

Step-by-step explanation:

6 0
3 years ago
The diameter of a circle is 4 inches. What is the circle's area?<br> d=4 in<br> Use 3.14 for u.
harina [27]

Answer:

The area would be 12.57

7 0
3 years ago
Other questions:
  • ***WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER****
    14·1 answer
  • What’s 62526351 x 3 - 2300 + 800
    9·2 answers
  • Help urgent very very urgent
    8·1 answer
  • Solve the inequality -5y-7&lt;28
    7·1 answer
  • Hector had 30 minutes to do a three-problem quiz. He spent 11 3 4 minutes on question A and 6 1 2 minutes on question B. How muc
    8·1 answer
  • Round 0.0567to the nearest value​
    8·1 answer
  • What is the outlier in the data set shown below?<br><br><br> A. 6<br> B. 36<br> C. 40<br> D. 46
    11·2 answers
  • Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6
    13·1 answer
  • Consider these functions:<br> f(x) = x + 1<br> g(x)= 2/x
    12·1 answer
  • If the price of a textbook is $40 before tax is added on, and tax is 10%, what will the final price of the textbook be?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!