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
Alekssandra [29.7K]
1 year ago
5

Determine whether y varies with x. If so, find the constant of variation and write the function rule.

Mathematics
1 answer:
ira [324]1 year ago
6 0

Answer:  Yes, y does vary directly with x.

Constant of variation = 1/4

The function rule is  y = (1/4)x

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

Explanation:

Let's assume that y does vary directly with x.

If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.

Solving for k gets us k = y/x

For each row, divide the y value over the x value

  • row one: k = y/x = 14/56 = 0.25
  • row two:  k = y/x = 20/80 = 0.25
  • row three: k = y/x = 22/88 = 0.25

Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.

So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \fra
Gnesinka [82]

Answer:

5/4

Step-by-step explanation:

You just need to multiply 1/2 by 2 to give you a common denominator:

3/4+2/4

From there you can add the numerators:

5/4

HTH :)

5 0
2 years ago
(20pts) I need to know who is incorect and why
svp [43]

Answer:

i thig it is hj

Step-by-step explanation:

jk

6 0
2 years ago
The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the y-intercept, (0, 62), a
kotegsom [21]

Answer:

y = 3x + 62

Step-by-step explanation:

Trend line equation in the form :

y = mx + b

m = slope

b = intercept

Using the points :

(0, 62) ; (6, 80)

Slope, m = Rise / Run = (y2-y1) / (x2 - x1)

y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0

m = (80 - 62) / (6 - 0)

m = 18 / 6

m = 3

Intercept, b = value of y when x = 0

(0, 62) ; hence, b = 62

y = 3x + b

y = 3x + 62

3 0
3 years ago
Leda is ten years older than Pat. Write an algebraic expression that models Leda’s age with respect to Pat’s age.
iogann1982 [59]

Answer:

  • l = p + 10

Step-by-step explanation:

Let Leda's age is l and Pat's age is p.

<u>The expression would be:</u>

  • l = p + 10
7 0
2 years ago
Read 2 more answers
The distance from Talamunda to Velcratia is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the
EastWind [94]
\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\quad &#10;\begin{cases}&#10;d=700\\&#10;t=5&#10;\end{cases}\implies 700=5r\implies \cfrac{700}{5}=r&#10;\\\\\\&#10;\stackrel{mph}{140}=r
6 0
3 years ago
Read 2 more answers
Other questions:
  • How do I do this question
    15·1 answer
  • The number of students enrolled at a community
    15·1 answer
  • List and explain the elements that make up the structure of a fugue, then list and explain at least four techniques Bach utilize
    8·1 answer
  • Solve the inequality statement:<br> 4r – 5 &lt; 5r+7
    12·1 answer
  • A graph of average resting heart rates is shown below. The average resting heart rate for adults is 72 beats per
    5·1 answer
  • 3/6 is equivalent to
    9·1 answer
  • Distribute property of 7x +7y
    8·1 answer
  • 4.
    14·2 answers
  • HELPPP
    5·1 answer
  • In one or two sentences briefly describe the functions of the structures of the immune system:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!