Question
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
Answers
GPT 3.5
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.
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.