162k views
2 votes
if y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8? a. 1/9 b. 2/3 c. 54 d. 96

2 Answers

5 votes
The value of y when x is 8 is b. 2/3
User Rinor
by
8.0k points
0 votes

Answer:

The correct option is b.

Explanation:

It is given that y varies directly as x.


y\propto x


y=kx

It is given that y is 6 when x is 72.


6=k* 72

Divide both sides by 72.


(1)/(12)=k

The constant of proportionality is
(1)/(12).


k=(y)/(x)


(1)/(12)=(y)/(8)


(1)/(12)* 8=y


(2)/(3)=y

The value of y is
(2)/(3). The correct option is b.

User Kavatari
by
8.0k 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