abarahona2296 abarahona2296
  • 13-10-2020
  • Mathematics
contestada

Find the variation constant and an equation of variation for the given situation.

y varies directly as x, and y = 7 when x = 1/2.

Respuesta :

elcharly64
elcharly64 elcharly64
  • 14-10-2020

Answer:

[tex]\displaystyle y=14\cdot x[/tex]

Step-by-step explanation:

Directly Proportion

It's said that y varies directly proportional as x, if:

[tex]y=k\cdot x[/tex]

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]

Solving for k:

k=14

Thus, the equation is:

[tex]\boxed{\displaystyle y=14\cdot x}[/tex]

Answer Link

Otras preguntas

Write and solve a system of equations that represents each situation. Interpret the solution. Neil has a total of twelve $5 and $10 bills in his wallet. He has
1/3 of something = 3
how do you put y=5-2x on a table with numbers -1,0,1,2?
Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t
you are quiz master you have been asked to conduct a program for video show on sound how would you being the show present the beginning
factor using ac-method and factor completely, 25x²-30x--40  (help)
what are the consonance from the seven ages of man?
how do you say, do you want to build a snow man in spanish?
how to find cube root of 0.125
factor the trinomial, 14c³-33c²+18c= ______ (factor completely)