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
soldier1979 [14.2K]
3 years ago
15

For each table of values, select whether the table represents a linear or exponential relationship. Please help 10 points for th

e answer

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

We have a Table here called Function A. So we need to know whether the table represents a linear or exponential relationship. Remember that:

A linear function has the form:

f(x)=mx+b so if x increases by a constant amount the functions value will have a common difference.

An exponential function has the form:

f(x)=ab^x so if x increases by a constant amount the functions value will have a common difference.

<h2>FUNCTION A)</h2>

EXPONENTIAL RELATIONSHIP.

Notice that in this case the function increases by a constant amount and in this case this amount is 3 because:

6-3=3 \\ \\ 9-6=3 \\ \\ 12-9=3

As you can see, it is true that x increase by a constant amount of 3. Hence, we need to analyze the function values.

First, let's see if the function values has a common difference:

9.252-6.083=3.169 \\ \\ 14.07-9.252=4.818 \\ \\ Stop \ here!

We have stopped because there is no any common difference. Let's try to see if there is common ratio:

\frac{9.252}{6.083}=1.52 \\ \\ \frac{14.07}{9.252}=1.52 \\ \\ \frac{21.4}{14.07}=1.52

As you can see these function values have a common ratio. In conclusion THIS TABLE REPRESENTS AN EXPONENTIAL RELATIONSHIP.

<h2>FUNCTION B)</h2>

LINEAR RELATIONSHIP.

From the Table, it's easy to realize that this is a linear relationship by taking a look on the function values. Notice that x increases here at a constant amount of 2 because:

6-4=2 \\ \\ 8-6=2 \\ \\ 10-8=2

So, let's see if the function values has a common difference:

14-7=7 \\ \\ 21-14=7 \\ \\ 28-21=7

As you can see these function values have a common difference. In conclusion THIS TABLE REPRESENTS A LINEAR RELATIONSHIP.

<h2>FUNCTION C)</h2>

EXPONENTIAL RELATIONSHIP.

It is likely that this is an exponential function, just take a look at the function values. Notice that x increases here at a constant amount of 2 because:

2-0=2 \\ \\ 4-2=2 \\ \\ 6-2=2

So, let's see if the function values has a common ratio:

\frac{4}{16}=0.25 \\ \\ \frac{1}{4}=0.25 \\ \\ \frac{0.25}{1}=0.25

As you can see these function values have a common ratio. In conclusion THIS TABLE REPRESENTS AN EXPONENTIAL RELATIONSHIP.

You might be interested in
To the nearest square unit what is the area of the regular octagon shown below?
Ede4ka [16]
A=2(1+√2)a^{2}

A=2(1+√2)*15^{2}

A≈1086.4

The answer is A.
3 0
3 years ago
Read 2 more answers
What is a ajdacent angle
icang [17]
Two angles<span> are </span>Adjacent<span> when they have a common side and a common vertex (corner point) and don't overlap</span>
3 0
3 years ago
You are buying a party pack of chips for $14.50 with a 3% tax. How much do you pay in total?
myrzilka [38]

Answer:

Step-by-step explanation:

The answer is .50

6 0
2 years ago
Read 2 more answers
CAN SOMEONE HELPP PLZZ I POSTED THIS QUESTIONS LIKE 50 TIMES AND NO ONE ANSWEREDD
Nady [450]

Answer:

y = (x+1) + 1

Step-by-step explanation:

y = (x+1) + 1

y=x Vertical translation UP 1 unit and further Up 1 unit makes it UP 2 units,

y = (x+1) + 1      x≤-1    : The purple ray

4 0
2 years ago
The sum of two numbers is -14 one number is 20 less than the other find the numbers
Lisa [10]

Answer:

x=-17,y=3

Step-by-step explanation:

x+y=-14

x=x

y=x+20

x+(x+20)=-14

2x+20=-14

2x=-14-20

2x=-34

x=-34/2

x=-17

y=-17+20

y=3

3 0
3 years ago
Other questions:
  • Ruth’s car traveled 120 miles during the first race.During the second race it traveled 124 miles.If the car averaged 123 miles o
    10·1 answer
  • The number of limbs on a 2 year old oak tree is 21. is this discrete or continuous data?
    14·2 answers
  • What is a good science fair project for 7th grade. I REALLY need help!
    15·2 answers
  • Which expression can be used for the missing side length of the rectangle?
    12·1 answer
  • What is 8/9/10 subtract 2/2/5 in simplest form
    8·1 answer
  • (75 POINTS) BRAINLIEST Graph g(x), where f(x) = 2x − 5 and g(x) = f(x + 1).
    15·1 answer
  • Find the height, round to the nearest hundredth<br>Area is 72units squared <br>​
    9·1 answer
  • What is the solution using cross multiplication to this problem ?<br> 10/(x+2)7/(x+2)
    14·1 answer
  • Complete Ratio table
    6·2 answers
  • WHat is the answer for the blank boxes ig?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!