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
Nadya [2.5K]
2 years ago
6

Determine if the table shows a linear or an exponential function​

Mathematics
2 answers:
VMariaS [17]2 years ago
5 0
Like ya cuttt g..........
____ [38]2 years ago
4 0

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

y=mx+b

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

An exponential function is written as:

y=y_o.r^x

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}

Calculate the slope for (0,4) and (1,2):

\displaystyle m=\frac{2-4}{1-0}=-2

Calculate the slope for (1,2) and (2,1):

\displaystyle m=\frac{1-2}{2-1}=-1

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

\displaystyle r=\sqrt[1-0]{\frac{1}{2}}

The radical of index 1 is simply equal to its argument:

\displaystyle r=\frac{1}{2}

Now calculate the ratio for (0,4) and (2,1)

\displaystyle r=\sqrt[2-0]{\frac{1}{4}}

\displaystyle r=\sqrt{\frac{1}{4}}

\displaystyle r=\frac{1}{2}

Testing other points we'll find the same ratio, thus the table is an exponential function

You might be interested in
The four angles of a quadrilateral are in the ratio 2:3:5:8. Find the angles
sp2606 [1]

Answer:

Step-by-step explanation: let 2:3:5:8 be 2x,3x,5x,8x respectively .

*angles in a quadrilateral is 360 degree

*2x+3x+5x+8x=360

*18x=360

*x=360/18

*x=20

now substitute x in these:

2x=2x20=40

3x=3x20=60

5x=5x20=100

8x=8x20= 160

so these are the following angles: 40,60,100 and 160

8 0
3 years ago
Sam earned $380 working for 8 hours.<br> How much does Sam earn per hour? $<br> per hour
Crank

Answer:

$47.50

Step-by-step explanation:

You just take $380 and divide it by 8 hours to get the amount of money per hour, which is $47.50 .

7 0
2 years ago
Read 2 more answers
A proof should always begin with stating the given information.<br> True<br> False
const2013 [10]
<span>A proof should always begin with stating the given information.
True</span>
5 0
3 years ago
Read 2 more answers
A/45 = 5/7 Solve for a
Charra [1.4K]

Answer:

a=225/7

a=32 1/7

a=32.14285714...

5 0
2 years ago
Read 2 more answers
GEOMETRY PLEASE HELP! THANK TOU SO MUCH :)
Anna71 [15]

Answer:

11. X=76

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Why is it important to a lending institution that a person present a 2-year job history when applying for a home loan? a. Most l
    10·1 answer
  • Which statement best describes (3 × 4) × 6 = 3 × (4 × 6)?
    5·1 answer
  • Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in
    11·1 answer
  • Plsss help me!!!!
    11·1 answer
  • What is the volume of a cylinder with a height of 11.8 cm and a base with a radius of 8.3 cm, to the nearest tenth of a cubic ce
    14·1 answer
  • 1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?
    11·1 answer
  • Question 1 of 10
    6·2 answers
  • What is a coefficient?<br><br> please explain correctly
    7·2 answers
  • Off Topic: when you delete a place on Life360, does the other person in your circle get the notification that you have remove it
    13·1 answer
  • How can i get $41.11 with onlly 3 bills and 8 coins
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!