20% of a number is 17 . find the number
1 answer:
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Answer:
Step-by-step explanation:
**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula:
To calculate rate of change, differentiate.
substitute y for :
Take natural logs of both sides:
Apply the log rule :
Differentiate with respect to :
Mulitply both sides by :
Replace with
Therefore, rate of change of the function is :
So to solve for y, we need to get y alone on one side of the equation. So we are going to subtract 9x from both sides of the equation to get:
And since y is negative, we are going to divide both sides by -1 in order to make the y positive: