Write an exponential decay function to model the situation. Compare the average rates of change over the given intervals.
initial​ value: 59
decay​ factor: 0.7
1less than or equalsxless than or equals5 and 6less than or equalsxless than or equals8
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Part 1
The exponential decay function to model the situation is ​f(x)equals

59 left parenthesis 0.7 right parenthesis Superscript x.
Part 2
The average rate of change over 1 less than or equals x less than or equals 5 is ____ The average rate of change over 6 less than or equals x less than or equals 8 is ___ The rate of change
▼
increases
decreases
stays the same
as x increases.
​(Round to three decimal places as​ needed.)