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?
A. 4
B. 5
C. 6
D. 7
Let's say Emily wants to book x additional sessions beyond the first two.
The cost of the two initial sessions is $500.
Each additional session costs $50, so x additional sessions would cost $50 * x.
The total cost of the tutoring sessions is $500 + $50 * x.
According to the problem, Emily doesn't want to spend more than $700 on tutoring. So we can write this inequality:
$500 + $50 * x ≤ $700.
Now, let's solve the inequality.
Subtract $500 from both sides of the inequality:
$50 * x ≤ $700 - $500.
Simplify:
$50 * x ≤ $200.
Divide both sides of the inequality by $50:
x ≤ $200 / $50.
Simplify:
x ≤ 4.
The maximum number of additional sessions Emily can book is thus 4.
Therefore, the maximum number of additional sessions (beyond the first two) that Emily can book is 4.
The answer is A. 4.