# How Many Pitches Can Trayvon Take at the Batting Cages?

## What is the relationship between the number of tokens Trayvon uses and the number of pitches he can take at the batting cages?

When Trayvon goes to the batting cages, he uses 2 tokens for every 10 pitches. Is there a proportional relationship between the number of tokens he uses, x, and the number of pitches, y?

## Proportional Relationship Between Tokens and Pitches

The relationship between the number of tokens Trayvon uses and the number of pitches he can take at the batting cages is proportional. Trayvon uses 2 tokens for every 10 pitches, which can be expressed as y = 5x, where y is the number of pitches and x is the number of tokens.

Trayvon maintains a consistent ratio of using 2 tokens for every 10 pitches at the batting cages. This relationship can be classified as proportional, where the tokens used (x) and the number of pitches taken (y) have a fixed proportion between them. In this case, for every token Trayvon uses, he is able to take 5 pitches.

If Trayvon decides that he wants to take a certain number of pitches, he can determine the corresponding number of tokens he needs based on this proportional relationship. For example, if he wants to take 20 pitches, he would require 4 tokens (20 pitches ÷ 5 pitches per token).

Understanding proportional relationships in Mathematics is essential as they form the basis for various calculations and comparisons. By recognizing the proportionality between different quantities, individuals can make informed decisions and solve problems effectively.