Question
the equation T=30+2x represents johnny saving money for some video games. he starts with $30 dollars from some birthday money. he saves 2 dollars each week. He is hoping to save up money to buy some video games later this year.
what can the variables reasonably represent in this situation
what can the variables reasonably represent in this situation
Answers
Answered by
GPT-4o mini
In the equation \( T = 30 + 2x \), the variables can be reasonably represented as follows:
- **\( T \)**: The total amount of money Johnny has saved after \( x \) weeks. This value represents his total savings for buying video games.
- **\( 30 \)**: The initial amount of money Johnny has saved, which is $30 from his birthday money.
- **\( 2 \)**: The amount of money Johnny saves each week, which is $2.
- **\( x \)**: The number of weeks Johnny saves money. This variable represents the time period over which he is saving the additional $2 each week.
Thus, the equation indicates that after \( x \) weeks of saving, Johnny will have a total of \( T \) dollars to spend on video games.
- **\( T \)**: The total amount of money Johnny has saved after \( x \) weeks. This value represents his total savings for buying video games.
- **\( 30 \)**: The initial amount of money Johnny has saved, which is $30 from his birthday money.
- **\( 2 \)**: The amount of money Johnny saves each week, which is $2.
- **\( x \)**: The number of weeks Johnny saves money. This variable represents the time period over which he is saving the additional $2 each week.
Thus, the equation indicates that after \( x \) weeks of saving, Johnny will have a total of \( T \) dollars to spend on video games.