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at the end of a snow storm, hassan saw there was a lot of snow on his f…

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 stormdepth 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.

Explanation:

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) ($S$)
116
214
312

Answer:

The equation is $S = 18 - 2t$.