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
Oduvanchick [21]
3 years ago
10

For f(x) = 0.01(2)x, find the average rate of change from x = 2 to x = 10. 1.275 8 10.2 10.24

Mathematics
2 answers:
Slav-nsk [51]3 years ago
4 0
<h2>Answer:</h2>

The average rate of change of f(x) from x=2 to x=10 is:

                            1.275

<h2>Step-by-step explanation:</h2>

The average rate of change of a function f(x) from x=a to x=b is given by the formula:

Rate\ of\ change=\dfrac{f(b)-f(a)}{b-a}

The function f(x) is given by:

f(x)=0.01\cdot 2^x

We need to find the average rate of change of f(x) from x=2 to x=10

Hence, the average rate of change is calculated by:

Rate\ of\ change=\dfrac{f(10)-f(2)}{10-2}\\\\i.e.\\\\Rate\ of\ change=\dfrac{0.01\cdot 2^{10}-0.01\cdot 2^2}{8}\\\\Rate\ of\ change=\dfrac{0.01\times 2^2(2^8-1)}{8}\\\\i.e.\\\\Rate\ of\ change=\dfrac{0.01\times 255}{2}\\\\Rate\ of\ change=1.275

         Hence, the answer is:  1.275

son4ous [18]3 years ago
3 0

The average rate of change is ...

... (change in f(x))/(change in x)

... = (f(10) - f(2))/(10 - 2)

... = (10.24 - 0.04)/8 = 10.2/8 = 1.275

You might be interested in
Problem 3 A bank charges a service fee of $7.50 per month for a checking account. A bank account has $85.00. If no money is depo
omeli [17]

Answer:

12 months

Step-by-step explanation:

85-7.50x

At 11 months, the charges will add up to $82.50, so you know what after 12 months the account will be in the negative. At 12 months, the charges will be at $90, which means the account will have a balance of -$5

8 0
3 years ago
Questions 3-5 please and thank you
vekshin1

Answer:

too far away and too blurry cant see it

7 0
3 years ago
Simplify<br><br> Will mark brainliest, please show work if possible
Reil [10]
The answer for this question is 8/1

5 0
3 years ago
Read 2 more answers
Which is the solution set of a for -3(-x a) 7&lt;5 when x=-1 ?​
prohojiy [21]

Answer:

$x=2$ 

Step-by-step explanation:

...............

8 0
3 years ago
Read 2 more answers
You earn $9.20 per hour at your
Mkey [24]

Answer:

32.5

................................

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the exact value of tan(x-y) if sinx=8/17 and cosy=3/5
    5·2 answers
  • The one gives the answer will be marked as the brainliest.......
    15·2 answers
  • 32/96 in its simplest form
    13·2 answers
  • What is the slope of the function y=4x+6y=4x+6 Answer value
    12·1 answer
  • How do i expand and simplify this please solve it step by step ​
    5·1 answer
  • 1/4 to 1/2
    7·1 answer
  • Yara saved $440. She spent 3/4 of it on a tablet. How much money did Yara spend on the tablet?
    14·2 answers
  • A. Y=x+4. B. Y= -2/3x-4. c. Y=-2x+4. d. Y=-1/2x+4 Pls help
    12·1 answer
  • Choose the correct answer.
    13·2 answers
  • Really could use help here.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!