Question

At a chess tournament the number of competitors in each round is 50% of the number of competitors in the previous round. What type of relationship most appropriately models this situation?

exponential growth
linear increase
linear decrease
exponential decay

Answer 1

The answer is exponential decay.

Explanation:

At a chess tournament the number of competitors in each round is 50% of the number of competitors in the previous round.

So, the relationship that most appropriately models this situation is exponential decay.

Exponential decay is the process of reducing any given amount by a fixed or gradual percentage rate over a period of time.

It can be written like
`y= a(1-b)^(x)`

Where, y is the final amount

a is the original amount

b is the decay factor

x is the amount of time that has passed.

Answer 2

This is an exponential decay because it decreases by 1/2 each time