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
Tanzania [10]
3 years ago
15

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

. y = 1 3 x
Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:

Option D. y=\frac{1}{3}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

y=x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=0+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

y=1-\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=1-\frac{1}{3}(0)=1

so

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

y=3x+\frac{1}{3}

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=3(0)+\frac{1}{3}=\frac{1}{3}

so

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

y=\frac{1}{3}x

Remember that

the line must pass through the origin

so

For x=0, y=0

In this case

For x=0

y=\frac{1}{3}(0)=0

so

The line passes through the origin

therefore

The equation D represent a proportional relationship

You might be interested in
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm​ long, 13cm​ wide, and 8cm​ tall?
Effectus [21]

Answer:

15cm long

Step-by-step explanation:

8 0
2 years ago
A jet ski rental charges A flat rate of $75 ,plus an additional $60 per hour you want to spend less than $200. for how many hour
cluponka [151]
The equation to solve would be setting

60×- the m plus 75,the b set to 200 the maximum that's wanted to be used. the equation will look like this

200=60x+75

-75. -75

125=60x
125/60 60x/60

2.08=x

and since you cant round the time the answer will be left at 2
8 0
3 years ago
What is the value of (f – g)(144)?
NikAS [45]
(f - g) (144)   Multiply 144 by both variables in the other set of parentheses.

[(144) (f) - (144) ( g)]   Simplify

144 f - 144g
5 0
3 years ago
write the set notation of the following Venn-diagram I will mark him or her as the brainliest answer​
GalinKa [24]

Answer:

A intersection B complement

4 0
2 years ago
Use the given equation to complete the table:
Ne4ueva [31]

Answer:

hope this helps

5 0
3 years ago
Other questions:
  • Consider the system of linear equations. 5x+10y=15 10x+3y=13 To use the linear combination method and addition to eliminate the
    8·2 answers
  • How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two
    11·2 answers
  • How many millimetres are there in fifteen centimetres
    6·2 answers
  • Find the missing side
    15·1 answer
  • A large truck and a small car have a head-on collision. Which scenario is true?
    15·1 answer
  • Jerome tries to find the value of the expression 3 - 6 + 5 by first applying the commutative property.He rewrites the expression
    6·1 answer
  • Carmen is recording the number of points she misses on each math quiz. Here are her results for the lastnine quizzes
    14·1 answer
  • Multiply the expression <br> 2/3 (6x + 15y)<br> and simplify completely.
    7·1 answer
  • PLEASE HELP! ΔMNP is the image of ΔJKL after a 90° clockwise rotation about the origin. ΔJKL is scalene. Describe the translatio
    11·1 answer
  • I need help!!! I have no idea what im supposed to do
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!