22.3k views
5 votes
2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.

y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x

User Jstnno
by
7.2k points

1 Answer

2 votes

Answer:

Correct choice: a. k = 13.5; xy = 13.5

Explanation:

Inverse Proportion

Two variables x and y are in inverse proportion or variation if:


\displaystyle y=(k)/(x)

Where k is the constant of proportionality

Since we know that y=4.5 when x=3:


\displaystyle 4.5=(k)/(3)

Solving for k:


k = 4.5*3 = 13.5

Thus the equation is:


\displaystyle y=(13.5)/(x)

Or, equivalently:


xy = 13.5

Correct choice: a. k = 13.5; xy = 13.5

User Steffen Wenzel
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories