Question 1

Question

An SAT tutoring services charges an initial fee of $500 plus $50 for each additional session. David does not want to spend more than $700 on tutoring.

Which inequality should be used to determine the number of additional sessions (s) David can schedule?

(1 point)
Responses

50s +500>700
50s +500>700

50s + 500<700
50s + 500<700

50s + 500 ≤700
50s + 500 ≤700

50s + 500 ≥700
50s + 500 ≥700
Question 2
(1 point)
David can schedule
additional sessions.
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Answer 1

For Question 1, we need to set up an inequality that reflects David's spending limit of $700. The total cost includes an initial fee of $500 plus $50 for each additional session (denoted as \( s \)). So the expression for the total cost is:

\[ 500 + 50s \]

Since David does not want to spend more than $700, we set up the inequality:

\[ 500 + 50s \leq 700 \]

Thus, the correct response for Question 1 is:

50s + 500 ≤ 700

For Question 2, to find out how many additional sessions David can schedule, we solve the inequality:

\[ 500 + 50s \leq 700 \]

Subtract 500 from both sides:

\[ 50s \leq 200 \]

Now, divide each side by 50:

\[ s \leq 4 \]

This means David can schedule a maximum of 4 additional sessions.