SAT Linear inequalities in one or two variables Practice Question 14 (Medium)

Question bank / Linear inequalities in one or two variables

Math · AlgebraMedium

A caterer charges a flat fee of $\$250$ plus $\$32$ per guest. A client's budget for catering is at most $\$3{,}000$ . What is the maximum number of guests the client can have?

$78$

$85$

$86$

$93$

Show answer and explanation

Answer: B

The cost must satisfy $250 + 32g \le 3000$ . Subtract 250: $32g \le 2750$ . Divide: $g \le 85.9375$ . The maximum whole number of guests is 85.

Choice D divides 3,000 by 32 without subtracting the flat fee.

Ask Owl about this question Next question

Got it wrong? On SAT Owl, Owl looks at the answer you chose and explains the exact mistake, then gives you similar questions until it sticks. Get your predicted SAT score free.