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We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where 'k' is termed as the 'constant of variation'.

Given that a wedding reception seats 8 people at each table.

Given that the relationship between the number of people 'p' and the number of tables 't'.

p = 8t

CHECKING OPTION A

substitute t = 22 in the given equation

p = 8 × 22 = 176 people

It means to host 176 people, 22 tables will be needed.

Hence, OPTION A is INCORRECT!

CHECKING OPTION B

substitute t = 8 in the given equation

p = 8 × 8 = 64 people

It means to host 64 people, 8 tables will be needed.

Hence, OPTION B is INCORRECT!

CHECKING OPTION C

substitute t = 13 in the given equation

p = 8 × 13 = 104 people

It means to host 104 people, 13 tables will be needed.

Hence, OPTION C is CORRECT!

CHECKING OPTION D

substitute t = 6 in the given equation

p = 8 × 6 = 48 people

It means to host 48 people, 6 tables will be needed.

Hence, OPTION C is INCORRECT!

Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

what’s the question?

step-by-step explanation: hi!