Question

an sat tutoringg service charges an inital fee of $500 plus $50 for each additional session . dave wants to spend $700nat most on tutoring.
which inequality should be used to determine the number of additional sessions dave can schedule.

dave can schedule _ additional services

Answer 1

To determine the number of additional sessions Dave can schedule while keeping his total spending at most $700, we start by expressing the total cost he would incur based on the given pricing model.

The total cost (C) for Dave can be expressed as:

\[ C = 500 + 50n \]

where \( n \) is the number of additional sessions.

Since Dave wants to spend at most $700, we can formulate the inequality:

\[ 500 + 50n \leq 700 \]

To solve for \( n \), we first subtract $500 from both sides:

\[ 50n \leq 700 - 500 \]
\[ 50n \leq 200 \]

Next, we divide both sides by 50:

\[ n \leq \frac{200}{50} \]
\[ n \leq 4 \]

Thus, the inequality that should be used to determine the number of additional sessions Dave can schedule is:

\[ n \leq 4 \]

This means:

Dave can schedule **4 additional sessions**.