Vicki is climbing down a 100 foot hill at a rate of 5 feet per second.  On your own paper, create a table, equation, and graph to represent Vicki’s height from the bottom of the hill with relation to time.  When will she reach the ground? Check your answers when you have completed each representation.

The equation for this relationship is:______________________

Make a table of values for this relationship:

 Time(s) Height (ft) 0 100 5 10 15 20

Make a graph from this functional relationship:

The domain and range for this functional relationship is

Domain:_____________ Range:_____________

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The equation for this relationship is y = 100 − 5x

Your table should look like the following:

 Time(s) Height (ft) 0 100 5 75 10 50 15 25 20 0

Your graph should look like the following:

The domain and range for this functional relationship is:

Domain {0 ≤ x ≤ 20} Range {0 ≤ y ≤ 100}. Note that even though this is a linear function, the domain and range is NOT ALL REAL NUMBERS. This is because for this scenario, there are limits set by the height of the hill (100 ft), and given that she climbs down 5 feet per second, the longest it can take her to climb down is 20 seconds.