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
ANEK [815]
3 years ago
13

What is the constant of proportionality in the equation y = 2.5x?

Mathematics
2 answers:
photoshop1234 [79]3 years ago
8 0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form \frac{y}{x}=k or y=kx

where

k is the constant of proportionality

In this problem we have

y=2.5x

so

the constant of proportionality k is equal to

k=2.5

therefore

<u>the answer is</u>

k=2.5

Nostrana [21]3 years ago
4 0

The constant of proportionality in the equation y = 2.5x is \boxed{2.5}.

Further explanation:

The relation is defined as the relationship between the input values and output values.

The x coordinates are the domain of the function and the y coordinates are the range of the function.

Given:

The equation is y = 2.5x.

Explanation:

The proportionality equation can be expressed as follows,

y \propto x

The value of y changes as x changes. If the value of x increases then the value of y is also increasing.

The equation can be expressed as follows,

y = kx

The inversely proportional relationship can be expressed as,

y \propto \dfrac{1}{x}

Here, k is the proportionality constant.

The given equation is y = 2.5x.

The y is the independent variable and x is the dependent variable.

The proportionality constant is 2.5.

The constant of proportionality in the equation y = 2.5x is \boxed{2.5}.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: proportional, directly proportional, constant, proportionality equation, y=0.41x, constant of proportionality.

You might be interested in
What is the area of the real bedroom?
stiks02 [169]

Answer:

area of real bedroom = 32 cm²

hope it helps..

6 0
3 years ago
Read 2 more answers
On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend conti
aleksklad [387]

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

6 0
3 years ago
Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,
Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = \frac{5}{8}\times x

Remaining votes = x - \frac{5}{8}\times x

                            = \frac{8x-5x}{8}\times x

                            = \frac{3}{8}\times x

Votes for green = \frac{5}{9}\times (\text{Remaining votes})}

                          = \frac{5}{9}\times \frac{3x}{8}

                          = \frac{5}{24}\times x

Finally remaining votes = \frac{3x}{8}-\frac{5x}{24}

                                       = \frac{9x-5x}{24}

                                       = \frac{4x}{24}

                                       = \frac{x}{6}

Since these votes are for red therefore,

\frac{x}{6} = 48

x = 48×6

  = 288

a) Votes for blue are \frac{5x}{8}

Therefore, exact number for blue votes = \frac{5\times 288}{8}

= 5×36

= 180

b). Votes for green = \frac{5x}{24}

= \frac{5\times 288}{24}

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = \frac{7}{10}\times 180

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = \frac{288}{2}

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0
3 years ago
15 balls are in bag of red and blue balls if 6 is red how many red balls must be added to bag so that probability is 2÷3​
Brut [27]

Answer: 12 red balls must be added

Step-by-step explanation:

Starting out with 15 balls, 6 red implies 9 blue. If blue remains 9, then we expect red to be 18 for a probability at 2/3. 18-6 = 12

6 0
3 years ago
Read 2 more answers
Henry has 4 more cards than Doug. Doug has 12 cards. How many cards does Henry have?
PIT_PIT [208]

Answer: doug has 16 cards

Step-by-step explanation: 12+4=16

                                        Give brainliest if it help :)

4 0
2 years ago
Read 2 more answers
Other questions:
  • How do you solve #4 with a proportion
    8·1 answer
  • (MULTIPLE CHOICE QUESTION)
    8·2 answers
  • A tool and die company buys a machine for 175,000 and it depreciates at a rate of 30% per year. Find the depreciated value of th
    6·1 answer
  • M is the midpoint of line segment AB. If the coordinates of M are (2, 6) and the coordinates of B are (5, 10), which of the foll
    7·1 answer
  • The functions f(x) = -(x+4) +2 and g(x) =(x-2)^2 -2 have been rewritten using the completing the square method. Apply your knowl
    14·1 answer
  • EXAMPLE problem: 9.1 divided by 3576 rounded to the nearest whole number
    10·2 answers
  • I will give brainliest here is the picture I need this ASAP
    12·1 answer
  • How long is a piece of string
    9·2 answers
  • The probability that a school wins their first game in the national college basketball tournament is related to the rank they ha
    11·1 answer
  • Help me!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!