Question

Suppose you and some friends are going to the movies. The amount of money you spend for tickets varies directly with the number of people buying tickets. If you spend $28 for four tickets, what is the constant of variation

Answer 1

money spent = number of people * price of 1 ticket (direst variation)
28 = 4 * price of a ticket

so price of one ticket = 28/4 = 7

Constant of variation is 7

we might write it as m = 7n

Answer 2

The constant of variation is 7.

Explanation:

Let x represents the number of buying ticket and y be the total spending,

According to the question,

y ∝ x

⇒ y = k x -------- (1)

Where k is the constant of variation,

Since, $28 is spent for four tickets,

If x = 4 , y = 28

Substituting the values in equation (1),

28 = k(4)

Dividing both terms by 4,

7 = k

Hence, the constant of variation is 7.