at the end of a snow storm, suav saw there was a lot of snow on his front lawn. the temperature increased and the snow began to melt at a steady rate. there was a depth of 16 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. make a table of values and then write an equation for s, in terms of t, representing the depth of snow on suav’s lawn, in inches, t hours after the snow stopped falling.

| number of hours after the storm | depth of snow on suav’s lawn (inches) |
| --- | --- |
| 0 | |
| 1 | |
| 2 | |
| 3 | |

Question

at the end of a snow storm, suav saw there was a lot of snow on his front lawn. the temperature increased and the snow began to melt at a steady rate. there was a depth of 16 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. make a table of values and then write an equation for s, in terms of t, representing the depth of snow on suav’s lawn, in inches, t hours after the snow stopped falling.

| number of hours after the storm | depth of snow on suav’s lawn (inches) |
| --- | --- |
| 0 |  |
| 1 |  |
| 2 |  |
| 3 |  |

Accepted Answer

# Explanation:
## Step1: Fill the table for t=0
At $ t = 0 $ (when the storm stopped), the depth of snow $ S = 16 $ inches. So the first row of the table is $ 0 $ and $ 16 $.

## Step2: Fill the table for t=1
The snow melts at a rate of 2 inches per hour. So after 1 hour ($ t = 1 $), the depth of snow is $ 16-2\times1 = 14 $ inches. So the second row is $ 1 $ and $ 14 $.

## Step3: Fill the table for t=2
After 2 hours ($ t = 2 $), the depth of snow is $ 16 - 2\times2=12 $ inches. So the third row is $ 2 $ and $ 12 $.

## Step4: Fill the table for t=3
After 3 hours ($ t = 3 $), the depth of snow is $ 16-2\times3 = 10 $ inches. So the fourth row is $ 3 $ and $ 10 $.

## Step5: Write the equation for S in terms of t
The initial depth of snow is 16 inches (when $ t = 0 $) and it decreases by 2 inches each hour. So the equation is a linear equation of the form $ S=S_0 - rt $, where $ S_0 = 16 $ (initial depth) and $ r = 2 $ (rate of melting). So $ S=16 - 2t $.

# Table:
| Number of Hours after the Storm | Depth of Snow on Suav’s Lawn (Inches) |
|----------------------------------|---------------------------------------|
| 0                                | 16                                    |
| 1                                | 14                                    |
| 2                                | 12                                    |
| 3                                | 10                                    |

# Equation:
The equation representing the depth of snow $ S $ in terms of $ t $ hours is $ \boldsymbol{S = 16 - 2t} $

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QUESTION IMAGE

Question

Explanation:

Step1: Fill the table for t=0

Step2: Fill the table for t=1

Step3: Fill the table for t=2

Step4: Fill the table for t=3

Step5: Write the equation for S in terms of t

Table:

Equation:

Answer: