6
QuizMultiple Choice

Solving Two-Step Inequalities — Quiz

Question 6 • Grade 7 Mathematics

The outside temperature at midnight today in Polina’s hometown was 18 times degree F The temperature increases by 1 point 2 times degree F each hour over the next 15 hours. Polina’s school does not send students outside for recess if the outside temperature is 32 times degree F or lower. Recess at her school always starts on the half hour or hour. Which statement is true about recess at Polina’s school?

Answer
A
Only students who have recess at 11:30 a.m. or later may go outside.
B
Only students who have recess at 12:00 p.m. or later may go outside.
C
Only students who have recess at 11:00 a.m. or later may go outside.
D
Only students who have recess at 12:30 p.m. or later may go outside.

Explanation

The temperature starts at 18°F and rises 1.2°F each hour. It becomes warmer than 32°F when 18 + 1.2t > 32, which gives t > 11⅔ hours after midnight, or after 11:40 a.m. Since recess starts only on the hour or half hour, the first eligible recess time is 12:00 p.m. Thus, only students with recess at 12:00 p.m. or later may go outside.

AI-written and checked against the verified answer.

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