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

Answer 1

Let's assume that Emily can book x additional sessions beyond the first two.
The cost of the first two sessions is $4500.
The additional sessions cost $50 each.
Let's assume the number of additional sessions is x.
The cost of additional sessions is $50*x.
The total cost of the tutoring sessions is $4500 + $50*x.
According to the problem, Emily doesn't want to spend more than $700 on tutoring.
So, we have the inequality: $4500 + $50*x ≤ $700.
Now, let's solve this inequality for x:
$4500 + $50*x ≤ $700.
$50*x ≤ $700 - $4500.
$50*x ≤ -$3800.
Dividing both sides of the inequality by $50, we get x ≤ -$3800/$50.
x ≤ -76.
Since we can't have a negative number of sessions, the maximum number of additional sessions that Emily can book is 0.