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
saul85 [17]
3 years ago
13

Which of the following rules could represent the function shown in the table?

Mathematics
2 answers:
kvasek [131]3 years ago
5 0
ANSWER

The rule is given by the relation,

y = 2x + 1


EXPLANATION

We need to check and see if there is a constant difference between the y-values.


1 -  - 1 = 2 = 3 - 1


We can see that, there is a constant difference of 2.

This means that the table represents a linear relationship.


Let the rule be of the form,
y = mx + c


Then the points in the table should satisfy the above rule.


So let us plug in


(0,1)


This implies that,


1 =m (0) + c


1 = 0 + c


c = 1



Our rule now becomes,


y = mx + 1 -  - (1)


We again plug in another point say, (-1,-1) in to equation (1) to get,



- 1 = m( - 1)   + 1

we solve for m now to obtain,

- m=-1-1


- m =  - 2


m = 2
We now substitute back in to equation (1) to get

y = 2x  + 1
nevsk [136]3 years ago
4 0

Answer:

Option (C) is correct

f(x) = 2x + 1

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

y=mx+b               .....[1]

where, m is the slope and b is the y-intercept.

As per the statement:

Let y = f(x)

Given the table as shown

Let any two points:

(-1, -1) and (0, 1)

Formula for slope(m):

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

Substitute the given values we have;

m = \frac{1-(-1)}{0-(-1)}

⇒m = \frac{2}{1} = 2

Substitute in [1] we have;

y = 2x+b                ....[2]

Substitute the point (-1, -1) in [2] we have;

-1 = 2(-1)+b

⇒-1 = -2+b

Add 2 to both sides we have;

1 = b

or

b = 1

then, we get the equation:

y =2x+1

or

f(x) = 2x+1

Therefore,  the following rules could represent the function is, f(x) = 2x+1

You might be interested in
A 72° sector in a circle has an area of 16.4π yd². What is the area of the circle? Use 3.14 for pi.
Dmitry [639]
The area of a sector of a circles is calculated by the equation A = πr^2 (theta/360). From the data of the sector, we determine the radius of the circle. THen, we can calculate for the area of the circle.

16.4π = πr^2 (72/360)
r = 9.06

Area of circle = πr^2 
Area of circle = π(9.06)^2
Area of circle = 82π
6 0
3 years ago
URGERNT HELP PLEASE!!?
timofeeve [1]

    Four order pairs are ( 2, 5 ), ( 4, 8 ), ( 6, 11 ), ( 0, 2). All those I cited are whole numbers so that should help plot them, and from there get a ruler or straight edge and align all the dots to create the line for the equation. The equation you gave was the standard form which was created out of the formula to find a equation it's y = mx + b, there could be small variations made. How I know it's proportional is because all linear equations are. But if that's not enough I also know since there's a ratio or pattern that it follows and doesn't stray from. In more depth, porportional relationship is a ratio between y and x which is the same thing everytime shown if simplified.  

7 0
3 years ago
PLEASEE GUYS HELP ME WITH THIS QUESTION IM STRUGGLING AND ITS DUE IN 14 MINS
ELEN [110]

use vanilla ice cream with that it's the best

8 0
2 years ago
Read 2 more answers
Can the following question be considered a statistical question and why or why not?
FinnZ [79.3K]

It could. If you turn it into an experiment. Let's say you take 100 students from each grade, and you ask them if they exercise. And then you wanna create a graph. And find out out of those students how many of them exercise and how many of them do not. Then turn it into a percent.

I hope this helps. If you have any further questions on this or any other questions just ask. I am here to help you, as needed.

7 0
3 years ago
Read 2 more answers
Homosexuals, please help a girl out.
Roman55 [17]
Yes she is right. i turned it into a fraction which would be 18/15. then divide 18 by 15, which is 1.2 . then multiply 1.2 by 100
6 0
3 years ago
Other questions:
  • PLS HELP ME ASAP ON ALL THESE (ALL 6) (SHOW WORK!!!) + LOTS OF POINTS!!
    12·1 answer
  • $250 is invested at a bank that pays 7% simple interest. calculate the amount of money in the account after 1 year, 3 years, 7 y
    5·1 answer
  • Manny is on vacation in France. He has rented a car to drive 233.3 kilometers from Paris to Brussels and wants to figure out the
    6·1 answer
  • Suppose that an object is dropped from a height of
    7·1 answer
  • Need help with #1 please it’s algebra!
    9·2 answers
  • Which of the following is the least? A. 0.105 B. 0.501 C. 0.015 D. 0.15
    12·1 answer
  • Presence of the activity in this illustration is an example of how a country’s government can be shaped by
    11·2 answers
  • How much less would a 23-year-old female pay for a $25,000 policy of 20 year life insurance (@ $2.90 per $1000) than straight li
    10·2 answers
  • In isosceles triangle RST below,<br> What is the value of y
    7·1 answer
  • Is <br><br> Y=1/4x-1<br> Y=1/4x-1 <br><br> No solution?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!