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
Stells [14]
3 years ago
10

Jack is 12 and his sister Sophia is 16. Jack says that the relationship between his age and Sophia‘s is proportional and the con

stant of the proportionality is 12/16 do you agree
Mathematics
2 answers:
n200080 [17]3 years ago
6 0

Given that current age of Jack = 12 years

Given that current age of Sophia = 16 years

Jack says that the relationship between his age and Sophia‘s is proportional

If Jack's age is represented by y and Sophia's age by x then we can write y=kx as they are in proportion

where k is called constant of proportion

Now let's plug given ages of each that is y=12 and x=16 into y=kx to find the constant of proportionality


12=k*16

12/16=k

Which is same as the given value of constant of proportionality.

Hence Jack is right about his statement.


But if you think about practical life situation then age of both will not be in proportion

For example after 1 year Jack's age will be 13 and Sophiy's age will be 17

then constant of proportionality using new values will be 13/17

Clearly 12/16 and 13/17 are not same.

So in practical life, age of both will not in in proportion.


stiks02 [169]3 years ago
5 0

Answer:

No, it is not correct.

Step-by-step explanation:

∵ Jack's age = 12,

And, Sophia's age = 16,

So, the Sophia's age - Jack's age = 16 - 12 = 4,

If x represents the age of jack and y represents the age of Sofia,

Then y - x = 4

⇒ y = 4 + x

Which is equation of a line,

Since, if a line that shows the relation between two variable passes through the origin then the relation is proportional otherwise not,

0 = 4 + 0 ( False ),

That is, line y = 4 + x does not represents a proportional relation.

Hence, there is no proportional relation between his age and Sophia‘s is proportional.

You might be interested in
Help me with my math please
monitta

Answer:

Volume of a cylinder = πr²h

Given

V=81π

r=3

find h

Making h the subject

h= V/πr² = 81π/π(3)²

h= 81/9

h= 9cm

3 0
3 years ago
Read 2 more answers
The sum of three consecutive odd numbers is 39. What is the smallest of these numbers?
saw5 [17]

Answer:

Possibly 3.

Step-by-step explanation:

A consecutive odd number that adds up to 39 and is the smallest (not including 1) is 3.

13, 3's equals to 39.

5 0
3 years ago
What consists of one endpoint and all the points on one side of the endpoint extends infinitely in one direction?
GREYUIT [131]
A ray, is a line that has one endpoint on one side and on the other side is an infinity amount of numbers

6 0
3 years ago
Helpppppppp due tomarro need help ver easy
Ksju [112]

E. -16.8

F. 4.6

G. -28

H. 3.6

6 0
3 years ago
Read 2 more answers
How do you expand brackets
Olenka [21]

Answer:

multiply each term in the bracket by the expression outside the bracket

:)

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Cylindrical hole of radius a is bored through a sphere of radius 2a. the surface of the hole passes through the center of the sp
    12·1 answer
  • 4/9 converted into a decimal rounded to the nearest thousand
    8·1 answer
  • The three sides of a triangle are 4cm, 6cm and 8cm.
    7·1 answer
  • What is the temperature in degrees fahrenheit shown on the thermometer to the nearest integer
    15·2 answers
  • What is the equation of the line with a slope of -2 that passes through the
    10·1 answer
  • Which numbers is 10 times greater than 400
    14·1 answer
  • Embarcación averiada. Dos patrullas de la Guardia Costera de Guatemala están separadas 225 millas y viajan una en dirección de l
    8·1 answer
  • What’s the percent of 4.3% of 1200
    13·2 answers
  • Can someone please help me :) it’s due today
    7·1 answer
  • Two processes in a manufacturing line are performed manually: operation A and operation B. A random sample of 50 different assem
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!