An SAT tutoring service charges a 4500 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

1 answer

Let's assume Emily books x additional sessions beyond the first two.
The cost of the additional sessions would be $50 * x.
The total cost of the tutoring would be $4500 (for the first two sessions) + $50 * x (for the additional sessions).
According to the problem, Emily doesn't want to spend more than $700.
So, we can set up the inequality:
$4500 + $50 * x ≤ $700
Subtracting $4500 from both sides, we get:
$50 * x ≤ $700 - $4500
$50 * x ≤ -$3800
Dividing both sides by $50, we get:
x ≤ -76
Since the number of additional sessions cannot be negative, we can disregard the negative value.
Therefore, the maximum number of additional sessions that Emily can book is 0.
Hence, the answer is 0 + 2 = 2.
So, the correct option is:
A. 2.