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Answer:
c) points: (0, 600), (1, 400); equation: y = 100 +500·(0.6^x)
Explanation:
c) It is convenient to choose points that are on the grid intersections. Two such points are ...
(0, 600) and (1, 400)
From part (a), you know that the horizontal asymptote is 100, so this is the value that is added to the exponential function. That is, the exponential term of the function decays from 600-100 = 500 at x=0 to 400 -100 = 300 at x=1. The "growth factor" is then 300/500 = 3/5 = 0.6.
The exponential equation is then ....
y = (horizontal asymptote) + (initial exponential term)(growth factor)^x
Using the numbers we just developed, this is ...
y = 100 + 500(0.6^x)