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20 votes
20 votes
The table shows the proportional relationship between the number of tickets required per game at a carnival.

Games 3 8 13
Tickets 9 24 39


Determine the constant of proportionality.
18
6
5
3
PLS HELP

User Eduardo Bezerra
by
3.2k points

1 Answer

30 votes
30 votes

Answer:

  • constant of proportionality = 3

Explanation:

You want to find the number of tickets required per game, given that the relationship is proportional and 9 tickets are required for 3 games.

Proportion

The equation of a proportional relationship can be written as ...

y = kx

where k is the constant of proportionality.

Constant

Solving for k, we have ...

k = y/x

Using a given ordered pair, we find ...

k = 9/3 = 3

The constant of proportionality is 3 (tickets per game).

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Additional comment

Since the relationship is given as being proportional, we only need one (x, y) pair to find the constant of proportionality.

User Endel Dreyer
by
3.1k points