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?
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}.