Jax tutors algebra students for a base fee of $15 plus an additional $10 an hour. Which equation is used to determine how much Jax can earn, where p is profit and t is time?

1. P = 10t + 15
2. P = 10t - 15
3. T = 10p + 15
4. P = 25t

1 answer

To determine how much Jax can earn in profit, we need to consider both the base fee and the hourly fee. Jax charges a base fee of $15 and an additional $10 for each hour worked.

The equation that represents this situation is:

\[ P = 10t + 15 \]

Where:

  • \( P \) is the total profit,
  • \( t \) is the time in hours,
  • \( 10t \) represents the earnings from the hourly rate,
  • \( 15 \) is the base fee.

Therefore, the correct equation to determine how much Jax can earn is:

1. P = 10t + 15