Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
4.94
$20 per hour
1500 - 500 = 1000
1000 divided by 50 = 20
To check:
20 x 50 = 1000
Period is time between the two peaks.
Period = 4.114 - 1.870
Period = 2.244 seconds
