6. Tomas has \( \$ 1,000 \) to spend on a vacation. His plane ticket costs \( \$ 348.25 \). If he stays 5.5 days at his destination, how much can he spend each day? Write an inequality and then solve.

To find out how much Tomas can spend each day on his vacation, first, we need to set up an equation based on his total budget, the cost of the plane ticket, and the number of days he'll be staying. First, subtract the cost of the plane ticket from the total amount he has: \[ \$1,000 - \$348.25 = \$651.75 \] Now, let \( x \) represent the amount he can spend each day. The total he can spend over 5.5 days is \( 5.5x \). We can set up an inequality to represent this situation: \[ 5.5x \leq 651.75 \] Now, solve for \( x \) by dividing both sides by 5.5: \[ x \leq \frac{651.75}{5.5} \approx 118.59 \] So, Tomas can spend a maximum of approximately \( \$118.59 \) each day.