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
bazaltina [42]
3 years ago
12

What is the average rate of change between

Mathematics
2 answers:
Lapatulllka [165]3 years ago
3 0

Rate of change=R∆=(y2-y1)/(x2-x1)=∆y/∆x

(X1,Y1)(X2,Y2)

(1,2)(2,4)

R∆=∆y/∆x

=(4-2)/(2-1)

R∆=2

(2,4)(3,8)

R∆=(8-4)/(3-2)

R∆=4

(3,8)(4,16)

R∆=(16-8)/(4-3)

R∆=8

Ann [662]3 years ago
3 0

Answer:  The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:  We are given to find the rate of change from

x = 1 to x = 2,  x = 2 to x = 3  and  x = 3 to x = 4.

We know that

The average rate of change between x = a to x = b for a function f(x) is given by

A_v=\dfrac{f(b)-f(a)}{b-a}.

For the given function f(x), we have from the graph that

f(1) = 2,  f(2) = 4,  f(3) = 8  and  f(4) = 16.

So, the average rate of change from x = 1 to x = 2 is given by

A_{v1}=\dfrac{f(2)-f(1)}{2-1}=\dfrac{4-2}{1}=2.

The average rate of change from x = 2 to x = 3 is given by

A_{v2}=\dfrac{f(3)-f(2)}{3-2}=\dfrac{8-4}{1}=4.

The average rate of change from x = 3 to x = 4 is given by

A_{v3}=\dfrac{f(4)-f(3)}{4-3}=\dfrac{16-8}{1}=8.

Thus, the average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

You might be interested in
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
blagie [28]

Answer:

im helping so thanks for the

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If line y bisects AC, AB = 4-5x, and BC =2x+25, AC
jolli1 [7]
4 - 5x = 2x + 25
4 = 7x + 25
-21 = 7x
-3 = x

4 - 5x + 2x + 25 = ac
4 - 5(-3) + 2(-3) + 25 = ac
4 - (-15) + (-6) + 25 = ac
19 + (-6) + 25 = ac
38 = ac
7 0
3 years ago
A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.​
DochEvi [55]

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

7 0
3 years ago
Which line has a y-intercept of –2?<br> A ℓ<br> C t<br> B p<br> D both ℓ and t
Troyanec [42]

I can't answer this question without a picture of the lines.

6 0
3 years ago
Pense un numero lo multiplique por 7 al resultado le sume 4 obtube 32
irina [24]
7x+4=32
7x=28
X=4
Creo que así se ase
5 0
3 years ago
Other questions:
  • 40 miles x 25 min.=?mph
    12·1 answer
  • Your total gas bill for one week was 15.43 , how much was it for one month
    9·1 answer
  • Solve : A=1/2nal for n
    11·1 answer
  • 1. Which regions contain more than 3 million males​
    14·2 answers
  • 3(v + 2) + 4 = 13<br> HELP ME!!
    15·2 answers
  • Given ​ f(x)=x2+14x+40 ​.<br><br><br> Enter the quadratic function in vertex form in the box.
    9·1 answer
  • How many ways can 4 candy bars be chosen<br> from a store that sells 30 candy bars?
    9·2 answers
  • What is an equation for the line that passes through the points (-2,3), and (2,1)
    15·1 answer
  • I need help please as soon as possible thanks
    11·2 answers
  • Which statement best describe the sides of a rhombus? *
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!