Question

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Answer 1

see explanation

Explanation:

(3)

the values of q decrease as the values of p increase.

this indicates an inverse relationship between the quantities, that is

q =
`(k)/(p)` ← k is the constant of variation

to find k use any ordered pair from the table.

using q = 16 when p = 3 , then

16 =
`(k)/(3)` ( multiply both sides by 3 )

48 = k

q =
`(48)/(p)` ← equation of variation

(4)

the values of q increase as the values of p increase.

this indicates the quantities are in direct variation, that is

q = kp ← k is the constant of variation.

to find k use any ordered pair from the table.

using q = 2 when p = 6 , then

2 = 6k ( divide both sides by 6 )

`(2)/(6)` = k , that is

k =
`(1)/(3)`

q =
`(1)/(3)` p ← equation of variation