There were 8 inches of snow on the ground before the latest snowstorm.  Once the storm started, the depth D, in inches, of snow on the ground satisfies the equation of change
.
Here t is measured in hours.A: Find a formula that gives the depth of snow t hours after the snow storm begins.B: Make a graph of depth versus time over the first 5 hours of the storm.C: How long will it take for the depth of the snow to reach 20 inches?

What will be an ideal response?


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A:

?

B:

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C:  4 hours


Mathematics

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Provide an appropriate response.A student has noticed that every squared natural number is either a multiple of 4 or one larger than a multiple of 4, but isn't sure if this is always true. Use algebraic reasoning to explain to the student why this is always true.

What will be an ideal response?

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Mathematics