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
Black_prince [1.1K]
3 years ago
13

Which table shows y as DIRECTLY PROPORTIONAL to x?

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

Option B gives the directly proportional relation.  

Step-by-step explanation:

If a function can be written as in the form y = kx ........... (1), where x is the independent variable, y is the dependent variable and k is the proportionality constant.

Now, from the given four tables in options, the table in option B only satisfies this relation between x and y.

The ordered pairs in the option B are (1,0.5), (2,1), (3,1.5) and (4,2).

Now, take any two pairs of coordinates and find the equation of the function that satisfies all four points.

Taking (1,0.5) and (2,1) points, the equation of the straight line will be  

\frac{y - 1}{1 - 0.5} = \frac{x - 2}{2 - 1}

⇒ 2(y - 1) = x - 2

⇒ 2y = x

⇒ y = \frac{1}{2} x ............. (2)

Therefore, this equation (2) is similar to equation (1) and hence this table is directly proportional relationship. (Answer)

You might be interested in
-7/6 or -11/15<br>which is the greatest?​
Lelechka [254]

Answer:

-11/15 is the greatest because ita in negative

6 0
2 years ago
Read 2 more answers
Find the series in A.P whose sum to n terms is n*(n+2)​
Lemur [1.5K]

Answer:

3, 5, 7, 9, 11, .........

Step-by-step explanation:

Given

S_{n} = n(n + 2) , then

S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3

S₂ = 2(2 + 2) = 2(4) = 8

S₃ = 3(3 + 2) = 3(5) = 15

Thus

a₂ = S₂ - S₁ = 8 - 3 = 5

a₃ = S₃ - S₂ = 15 - 8 = 7

The first 3 terms are 3, 5, 7

This is an AP with common difference d = 2, then

a₄ = a₃ + 2 = 7 + 2 = 9

a₅ = a₄ + 2 = 9 + 2 = 11

and so on

3 0
3 years ago
A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S)=0.29. They have also deter
GuDViN [60]

<u>Answer:</u>

The correct answer option is P (S∩LC) = 0.16.

<u>Step-by-step explanation:</u>

It is known that the probability if someone is a smoker is P(S)=0.29 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.552.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.552 = P(S∩LC) / 0.29

P (S∩LC) = 0.552 × 0.29 = 0.16

5 0
3 years ago
What unit of time or volume is 1 equals 2?
Ugo [173]
What exactly are you asking?
5 0
2 years ago
If triangle EFG is shifted ten units to the left, what are the new coordinates of vertex E?
KiRa [710]
A -3 subtracted by 10 is -13 and it stays 2
8 0
3 years ago
Other questions:
  • Find k so that the distance from (–1, 1) to (2, k) is 5 units.
    13·1 answer
  • Write the linear inequality shown in the graph.
    9·2 answers
  • How are the values of the eights in 880 related
    6·1 answer
  • In a weightless environment, an astronaut lose about 1.5% calcium in their bodies per month. Suppose some astronauts flew to Mar
    8·1 answer
  • The following quadratic function. find the zeros
    13·1 answer
  • Form the algebraic expressions for the following with explanation.
    12·1 answer
  • Which BEST describes the system of equations?<br> y= {x-2<br> y = 8x + 4
    8·1 answer
  • Which Sentence about measuring angles is true?
    14·2 answers
  • Plshelp itsmathim gonnafaillll pls help
    9·1 answer
  • I need help with this!​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!