An SAT tutoring service charges a $500 fee for two sessions, plus $50 for each additional session. Emily doesn’t want to spend more than $700 on tutoring. What is the maximum number of additional sessions (beyond the first two) that Emily can book for her tutoring sessions?

Answer 1

Let's assume the maximum number of additional sessions that Emily can book is x.
The cost of the first two sessions is $500.
The cost of x additional sessions is $50x.
So, the total cost of all the sessions is $500 + $50x.
Emily doesn't want to spend more than $700, so we can set up the inequality:
$500 + $50x ≤ $700.
Subtracting $500 from both sides:
$50x ≤ $200.
Dividing both sides by $50:
x ≤ 4.
Therefore, the maximum number of additional sessions Emily can book is 4. Answer: \boxed{4}.