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.

Question

what can the variables reasonably represent in this situation

Answer 1

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.