If the values in the table below model a proportional relationship, what is the equation for the function?

If The Values In The Table Below Model A Proportional Relationship, What Is The Equation For The Function?

Answers

Answer 1

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]     ...(i)

where, k is the constant of proportionality.

From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

[tex]1=k(2)[/tex]

[tex]\dfrac{1}{2}=k[/tex]

Putting [tex]k=\dfrac{1}{2}[/tex], we get

[tex]y=\dfrac{1}{2}x[/tex]

Therefore, the correct option is A.


Related Questions

How many eighth note are in
a eighth note

Answers

[tex]question[/tex]

How many eighth note are in

a eighth note?

Sixteenth Notes

=====================================

The Four eighth notes has a value of half note in the duration.

∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞

Four eighth notes= half note

half note=2 beats per second

SO

2X8=16

#CarryOnLearning

9.32 decreased by seven thousandths.

Answers

Answer:

9.32-7000=-6990.68 is your answer

9.32 - 0.007 = 9.313

Notice seven thousandths, not seven thousand

Tami rode her bicycle 22.5 miles in 4 hours.Which gives the best estimate of how far Tami rode in 1 hour?

Answers

If she rode 22.5 miles in 4 hours we can do 22.5 miles then divide 22.5 by 4 that would give us the answer of 5.625 hours

find the remainder of the following without using module division (2X2-3x +4) /(x-1)​

Answers

Answer:

??????????????????????

Answer:

remainder is 3

Step-by-step explanation:

(2x^2-3x+4)÷(x-1)

quotient is 2x-1 and with a remainder of 3 using the long division...

Hope this will help

3/4 + 1/3x = 6 Solve for x

Answers

Just subtract 3/4 from both sides that divide 1/3 and x to get your answers

[tex] \frac{3}{4} + \frac{1}{3}x = 6 [/tex]

Multiply both sides of the equation by 12

[tex]9 + 4x = 72[/tex]

Move constact to the right-hand side and chancge it's sign.

[tex]4x = 72 - 9[/tex]

Subtranct the numbers

[tex]4x = 63[/tex]

Divide both sides the equation by 4

Solution:

[tex]x = \frac{63}{4} [/tex]

Alternate Form:

[tex]x = 15 \frac{3}{4} x = 15.75[/tex]

If a rectangle measures 6 meters by 8 meters, what is the length, in meters of the diagonal of the rectangle?

Answers

The diagonal is 10 meters.

Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 129 University of (California Berkeley undergraduates were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others.
A. Identify the population of interest and the sample in this study.
B. Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

(A) Population: UCB undergraduates

Sample: The selected 129 UCB undergraduates

(B) Yes, they can be generalized to the population

No, the findings of this single study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.

Step-by-step explanation:

STUDY: Relationship between socio-economic class and unethical behavior.

The bases for determining social class here are:  money, education, and respected job.

RESULT: Those who identified as upper class took more candy than others.

(A) Identify the population of interest and the sample, in this study.

The population of interest in this study is UCB undergraduates.

The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.

(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.

The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.

A second airline is conducting the same research about its planes, but this company is much bigger and has acquired data for 50 planes. Is a dot plot still beneficial to summarize the data?

Answers

Answer:

While it’s possible to create a dot plot using this data, plotting 50 points on a number line is cumbersome. The more data points there are, the more tedious it is to make a dot plot. For this case, it might be better to use a different visual representation.

Step-by-step explanation:

This is the Plato sample answer I would suggest changing it up a little bit

Answer:

While it’s possible to create a dot plot using this data, plotting 50 points on a number line is cumbersome. The more data points there are, the more tedious it is to make a dot plot. For this case, it might be better to use a different visual representation.

Step-by-step explanation:

This is actually the sample answer from plato

Can one also help me with these questions please

Answers

cAnswer: its c

Step-by-step explanation:

There are 12 red marbles in a bag. The ratio of the total number of marbles in the bag to the number of red marbles in the bag is 5:2. How many marbles are in the bag?

Answers

Answer:

30 marbles

Step-by-step explanation:

x = total # marbles

5/2 = x/12

2x = 60

x = 30

Find the equation of a line perpendicular to y=-3x-1 that contains the point (-1,1). Write the equation in slope intercept form.

Answers

Answer:

y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

y = -3x - 1

1. Perpendicular line needs the opposite (reciprocal) of the slope.

             reciprocal of -3 is -1/3, slope 1/3.                    y = 1/3x + b

2. Now find the b (y-intercept).                                     1 = 1/3(-1) + b

                                                                                       1 = -1/3 + b

                                                                                 + 1/3  +1/3

                                                                                    1 1/3 = b

3. Answer         y = [tex]\frac{1}{3}[/tex]x + 1 [tex]\frac{1}{3}[/tex]

             

.
How do you find the area of a rectangle

Answers

Answer:

length x width

Step-by-step explanation:

for example, if a rectangle has a length of 5 and a width of 2 you would multiply 5 and 2 to get the area of 10

area = l x h

5 x 2 = 10 < the answer (10)

8. You are given two of the side lengths of a triangle: 3.1 in and 1 ft. What is the solution range for the 3rd side length? (conversion needed?)​

Answers

Answer:

0 < x < 4.1, all in feet

Step-by-step explanation:

The 3rd side cant be zero but it must be shorter than the other two sides added together, or it wont make a triangle

0 < x < (3.1 + 1)

0 < x < 4.1, all in feet

Answer:

yes jdjdjdkdjjdjdjdjdjdndndndjd am so sorry

Step-by-step explanation:

b. f(n)=5+f(n-1); f(1)=0
Quiero que me ayuden porfa

Answers

Answer:

f=5 and f=0

I substituted wrongly at first but i now i am sure i got it right

brainliest please

Simplify the expression 4x3 2x3

Answers

Answer:

onc

Step-by-step explanation:

Find the slope of the line parallel to the line with the given information:
x + y = 4

Answers

Answer:

Slope: -1

Step-by-step explanation:

Isolate y to one side to match the formula y = mx + b where m is the slope and b is the y-intercept.

y = -x + 4

Slope: -1/1

y-intercept: 4

Answer:

the slope is 4/4 which give u 1

Step-by-step explanation: at least it think so

Find the measure of angle 7
A. 65
B. 35
C.80

Answers

Answer:

I'll just do the entire thing since it's 13 points

1. 35

2. 45

3. 45

4. 65

5. 115

6. 65

7. 80

8. 35

9. 145

Answer: Answer would be C.80

Jose has saved $135 towards the purchase of a PlayStation 5. The total cost of the PS5 is $499. How much more money does Jose need to save?

Write an addition equation and solve.​

Answers

Answer:

Let x be how much more money Jose needs to save.

135 + x = 499

x = 364

Jose needs to save 364 more dollars.

Let me know if this helps!

Answer:

364*

Step-by-step explanation:

499-135=314

364+ 135=499

I put 449 instead of 499 so now i feel foolish. But that's okayy.

Write an algebraic expression for 7 times p. *

Answers

Answer:

7 times p =   7p

Step-by-step explanation:

The algebraic expression of 7 times p is 7p.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

7 times p.

This can be written as,

= 7p

Thus,

The expression is 7p.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Construct the relative frequency distribution that corresponds to the given frequency distribution. incomesfrequencies 200-30069 301-40073 401-50081 501-60065 >60016 Group of answer choices

Answers

Answer:

Step-by-step explanation:

Given the data:

income ____frequencies ___ relative frequency

200-300_____69 __________ 0.227

301-400_____ 73 __________0.240

401-500_____ 81 __________ 0.266

501-600_____65 __________ 0.214

>600_______ 16 __________ 0.053

Total frequency :

(69 + 73 + 81 + 65 + 16) = 304

Which of the following steps could be used as a shortcut method to multiply 12 by 50

Answers

Answer:

It is C

Step-by-step explanation:

12*50 = 600

12*100= 1,200  then 1,200/2= 600

Line C passes through points (0, 2) and (8,8). What is the slope of a line parallel to line C?

Answers

Answer:

below

Step-by-step explanation:

If line C is parallel to another line, they will have the same slope. so calculate the slope first:

8-2/8-0=3/4(simplified)

and thats it

if John's dog weighs 16.23 lb how much would Jim's dog weigh​

Answers

Jim's dog would be 5.41lb!!

Answer:

It’s 5,41

Step-by-step explanation:

which is bigger -2 1/2 or -2 1/8​

: Please give a explanation.

Answers

Answer:

-2 1/2 is greater

Step-by-step explanation:

-2 1/2 because a half is bigger than a 8th.

HELPPPP ME PLEASE!!!!!

Answers

Answer:

10/3 ..don't trust I might be wrong

...need help with this ......​

Answers

The answer is c. 240.

I will mark Brainlyist write a equation for the line shown below​

Answers

Answer:

5 1/2 and -5 1/2

Step-by-step explanation:

thats just what the arrows point to

plz help me if you can

Answers

Answer:

m<GKH + m<HKI = 180; m<HKI + m<IKJ = 180 - Angles forming a linear pair sum to 180

m<GKH + m<HKI = m<HKI + m<IKJ - Subsitution

m<GKH = m<IKJ - Algebra

<GKH ≅ <IKJ - Definition of congruence

Step-by-step explanation:

Angles that form a linear pair are supplementary because together they make a straight line. So, they must sum to 180.

In statement 2, m<HKI + m<IKJ replaces 180 degrees. This is allowed because m<HKI + m<IKJ is equivalent to 180 degrees, so it can be substituted.

In statement 3, m<HKI is subtracted from both sides. This is allowed through the property of equality, which is a part of algebra.

The definition of congruency is that two shapes that are equal are congruent. So if m<GKH = m<IKJ, then they must be congruent as well.

25x + 15y=17
25x + 15y=305$



Neee answer ASAP

Answers

Answer:

1st. Problem

Let's solve for x.

25x+15y=17

Step 1: Add -15y to both sides.

25x+15y+−15y=17+−15y

25x=−15y+17

Step 2: Divide both sides by 25.

25x/25 = -15y+17/ 25

x equals...

x= -3/5 y + 17/25

2nd. Problem

Let's solve for x.

25x+15y=305

Step 1: Add -15y to both sides.

25x+15y+−15y=305+−15y

25x=−15y+305

Step 2: Divide both sides by 25.

25zx/25 = -15y305/25

x equals...

x = -3/5 y + 61/5

3/4 is 60% of what number?

Answers

3/4 is 60% of 45.

[tex] \frac{60}{1} [/tex]

[tex] \frac{3 \times 60}{4 \times 1 } = \frac{180}{4} [/tex]

[tex] \frac{180}{4} = 45 \\ \frac{4}{4} = 1[/tex]

[tex] \frac{45}{1} = 45[/tex]

Answer:

10/8 or 1.25

Step-by-step explanation:

We can write this into an equation to help us understand what we need.

3/4=0.60x

We can make these both into fractions to make it easier.

3/4=6/10x

Divide both sides by 6/10, or multiply both sides by 10/6.

3/4×10/6=30/24=10/8=1.25

10/8=x

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