Answer:
We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
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.