Question

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

Answer 1

Answer:

s = 2t

Step-by-step explanation:

At the end of a snow storm, Audrey saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling.

2 inches = 1 hour

10 inches = x hour

2x = 10

x = 10/2

x = 5

Creating an equation

S ∝ t

S = kt

k = s/t

k = 2/1

k = 2

The equation for S, in terms of t, representing the depth of snow on Audreys lawn, in inches, t hours after the snow stopped falling is

S = 2t