Question
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?
Answers
GPT 3.5
Let's say that Emily can book a maximum of x additional sessions.
The cost of the two sessions is $500.
The cost of each additional session is $50, so the total cost of the additional sessions is $50x.
The total cost of all the sessions, including the additional ones, is $500 + $50x.
Emily doesn't want to spend more than $700 on tutoring, so we can write the following inequality: $500 + $50x ≤ $700.
By isolating x, we have $50x ≤ $200 and dividing both sides by $50, we get x ≤ 4.
Therefore, the maximum number of additional sessions that Emily can book is 4. Answer: \boxed{4}.
The cost of the two sessions is $500.
The cost of each additional session is $50, so the total cost of the additional sessions is $50x.
The total cost of all the sessions, including the additional ones, is $500 + $50x.
Emily doesn't want to spend more than $700 on tutoring, so we can write the following inequality: $500 + $50x ≤ $700.
By isolating x, we have $50x ≤ $200 and dividing both sides by $50, we get x ≤ 4.
Therefore, the maximum number of additional sessions that Emily can book is 4. Answer: \boxed{4}.