QUESTION IMAGE
Question
at the end of a snow storm, hassan 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 18 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 hassans lawn, in inches, t hours after the snow stopped falling.
| number of hours after the storm | depth of snow on hassans lawn (inches) |
|---|---|
| 1 | |
| 2 | |
| 3 |
answer attempt 1 out of 1
you must answer all questions above in order to submit.
Step1: Initial snow - depth
When $t = 0$, the depth of snow $S=18$ inches.
Step2: Snow - depth after 1 hour
The snow melts at a rate of 2 inches per hour. So after $t = 1$ hour, $S=18 - 2\times1=16$ inches.
Step3: Snow - depth after 2 hours
After $t = 2$ hours, $S=18-2\times2 = 14$ inches.
Step4: Snow - depth after 3 hours
After $t = 3$ hours, $S=18-2\times3=12$ inches.
Step5: Equation formation
The general linear - equation for the depth of snow $S$ in terms of $t$ (number of hours) is $S = 18-2t$ since the initial amount of snow is 18 inches and it decreases by 2 inches per hour.
The table is:
| Number of Hours after the Storm ($t$) | Depth of Snow on Hassan's Lawn (Inches) ($S$) |
|---|---|
| 1 | 16 |
| 2 | 14 |
| 3 | 12 |
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The equation is $S = 18 - 2t$.