At the end of a snowstorm, Aiden had 13 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 3 inches per hour. Assuming no more snow was falling, how much snow would Aiden have on his lawn 3 hours after the snow began to melt? How much snow would Aiden have on his lawn after t t hours of snow melting?

Respuesta :

Answer:

First question: 4 inches

Second question: 13 - 3t

Step-by-step explanation:

[tex]s(t) = 13 - 3t[/tex]

[tex]s(3) = 13 - 3(3) = 13 - 9[/tex]

[tex]s(3) = 4[/tex]

Answer:

After 3 hours: 4 inches

After t hours: 13  - 3t

Step-by-step explanation:

Initial height of snow = 13 inches.

Rate of melting snow = 3 in./hour

Let h = height of snow, and t = time in hours.

The equation that represents the height of the snow after t hours is:

h = 13 - 3t

After 3 hours:

t = 3

h = 13 - 3(3) = 13 - 9 = 4

After t hours:

h = 13  - 3t