Question

there was a big snowstorm overnight that dumped 12 inches of snow on math town. luckily, it got a lot warmer, and 0.5 inch is melting each hour. the snow is now less than 5 inches deep. write an inequality to determine how many hours have passed since the snow started melting. drag the numbers and symbols into the boxes to correctly complete the inequality.

Explanation:

Step1: Define the initial and melting amount

Initial snow depth is 12 inches. Melting rate is 0.5 inch per hour, so after \( h \) hours, melted snow is \( 0.5h \) inches. Remaining snow is \( 12 - 0.5h \) inches.

Step2: Set up the inequality

The remaining snow is less than 5 inches, so \( 12 - 0.5h < 5 \).

Answer:

\( 12 - 0.5h < 5 \)