Question

Find the constant of variation for the relation and use it to write an equation for the statement. Th

a.
C.
If y varies directly as x, and y = 7 when x = 3, find y when x = 7
7
49
49
Y =
343
3
y = 5%; y(7) =
3
3
3
b. 3
d. y = 7x; y(7) =49
y = 3*; y(7) =3
Please select the best answer from the choices provided

Answer 1

A

Explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 7 when x = 3 , then

7 = 3k ( divide both sides by 3 )

`(7)/(3)` = k

y =
`(7)/(3)` x ← equation of variation

When x = 7 , then

y =
`(7)/(3)` × 7 =
`(49)/(3)`