An SAT tutoring services charges an initial fee of $500 plus $50 for each additional session. David does not want to spend more than $700 on tutoring.

Question

Which inequality should be used to determine the number of additional sessions (s) David can schedule?

(1 point)
Responses

50s +500>700

50s + 500<700

50s + 500 ≤700

50s + 500 ≥700

Question 2
(1 point)
David can schedule
additional sessions.

Answer 1

To determine how many additional sessions \( s \) David can schedule without exceeding his budget of $700, we can set up the inequality based on the tutoring service's fees:

1. The initial fee is $500.
2. Each additional session costs $50.

The total cost for \( s \) additional sessions can be given as: \[ 50s + 500 \]

David does not want to spend more than $700, so we can set up the inequality: \[ 50s + 500 ≤ 700 \]

Thus, the correct inequality to determine the number of additional sessions is: 50s + 500 ≤ 700

Question 2

Now, let's solve the inequality to find the maximum number of additional sessions he can schedule:

\[ 50s + 500 ≤ 700 \]

Subtract 500 from both sides: \[ 50s ≤ 200 \]

Now, divide by 50: \[ s ≤ 4 \]

David can schedule 4 additional sessions.