Question

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?(1 point)
Responses

4
4

5
5

6
6

7
7
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Answer 1

To calculate the maximum number of additional sessions, we need to set up an inequality.

Let x represent the number of additional sessions.

The cost for the additional sessions is $50 multiplied by the number of additional sessions, so the cost for the additional sessions is 50x.

The total cost for the tutoring service is the initial fee of $500 added to the cost for the additional sessions, so the total cost is 500 + 50x.

We want the total cost to be less than or equal to $700, so we can set up the inequality:

500 + 50x ≤ 700

To solve for x, we can subtract 500 from both sides of the inequality:

50x ≤ 200

Next, we divide both sides of the inequality by 50:

x ≤ 4

So, the maximum number of additional sessions that Emily can book is 4.

Therefore, the correct answer is 4.