Question

at the end of a snowstorm, ai mi had 11 inches of snow on her lawn. the temperature then increased and the snow began to melt at a constant rate of 1.5 inches per hour. assuming no more snow was falling, how much snow would ai mi have on her lawn 3 hours after the snow began to melt? how much snow would ai mi have on her lawn after t hours of snow melting? answer snow on lawn after 3 hours: snow on lawn after t hours:

Explanation:

Step1: Calculate snow melted in 3 hours

The melting rate is \( 1.5 \) inches per hour. For \( 3 \) hours, melted snow \( = 1.5 \times 3 = 4.5 \) inches.

Step2: Find snow after 3 hours

Initial snow is \( 11 \) inches. Subtract melted snow: \( 11 - 4.5 = 6.5 \) inches.

Step3: General formula for \( t \) hours

Melted snow in \( t \) hours: \( 1.5t \) inches. Remaining snow: \( 11 - 1.5t \) inches.

Answer:

Snow on lawn after 3 hours: $6.5$ inches
Snow on lawn after \( t \) hours: \( 11 - 1.5t \) inches