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
Mkey [24]
3 years ago
13

Given the function f(x) = 20(1.25)^x . what is the average rate of change between f(2) and f(5)

Mathematics
2 answers:
cluponka [151]3 years ago
7 0

\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 20(1.25)^x\implies f(x) = 20\left( \cfrac{5}{4} \right)^x\qquad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}

\bf \cfrac{20\left( \frac{5}{4} \right)^5~~-~~20\left( \frac{5}{4} \right)^2}{3}\implies \cfrac{20\cdot \frac{3125}{1024}~~-~~20\cdot \frac{25}{16}}{3}\implies \cfrac{\frac{5\cdot 3125}{256}-\frac{5\cdot 25}{4}}{3} \\\\\\ \cfrac{\frac{15625}{256}-\frac{125}{4}}{3}\implies \cfrac{\frac{7625}{256}}{3}\implies \cfrac{7625}{256}\cdot \cfrac{1}{3}\implies \cfrac{7625}{768}\implies 9.92838541\overline{6}

Alex787 [66]3 years ago
3 0

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)b−a.

We have that a=1254, b=6103100, f(x)=20(54)x.

Thus, f(b)−f(a)b−a=20(54)(6103100)−(20(54)(1254))6103100−(1254)=−58207660913467407226562517167001203595951472642–√5–√4+542101086242752217003726400434970855712890625197922048572373973475376871275743307366424750⋅53100.

Answer: the average rate of change is −58207660913467407226562517167001203595951472642–√5–√4+542101086242752217003726400434970855712890625197922048572373973475376871275743307366424750⋅53100≈550754.870532511

pls put as brainliest

You might be interested in
4 is what percent of 75?
arsen [322]
2.96 or 18.75 is the answer im leaning towards 2.96 though
5 0
3 years ago
Read 2 more answers
Arrange and write the integers in decreasing order -47, -82, 77, -48
Travka [436]
Decreasing order : 77 ,-47 ,-48 ,-82
6 0
3 years ago
Write a postive or negative integer that repesents the situation. A football team loses 3 yards
Andreas93 [3]

Answer: -3

Step-by-step explanation:

Loses means negative. It is getting lesser and if you use a number line and start from zero, you move to the left side of it and get -3. I hope that helps.

3 0
3 years ago
Please answer quick for 50 points and brainliest
maria [59]

Answer: The answer is 49 because 128-79=49

8 0
2 years ago
Read 2 more answers
Kala is building a fence around her garden. For every 4 feet of fencing. the cost is 36$ . Complete the table below showing the
ExtremeBDS [4]

Answer:

Length of fencing: 4, 6, 7, 9, 10

Cost: 36, 54, 63, 81, 90

4 0
3 years ago
Other questions:
  • You travel 80 km in the first 1.00 hour of a trip, 50 km in the next 0.50 hours, and 40 km in the final 0.25 hours. Calculate yo
    11·1 answer
  • The opening balance of one of Jennies 30-day billing cycles for her credit card was $1220, and it remained that amount for the f
    8·1 answer
  • Using the given information, give the vertex form equation for each parabola.
    5·1 answer
  • I really need this is answered please no links or files
    8·1 answer
  • Place the numbers +14/3 -4 -3.95 -13/3 and -4.25 from least to greatest
    7·1 answer
  • Can anyone help me out
    7·1 answer
  • PLEASE ANSWER I WILL MAKE U BRAINLIEST
    13·1 answer
  • 20 points!! Explain how to create a strong password.
    10·2 answers
  • Helpppppp!!!<br> (Show work)
    15·1 answer
  • A spherical balloon has a circumference of 25 cm.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!