Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?
take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x
that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x
when x=ln2.5 they are paralell
There are 2 factors in this expression
1. Cost per hour does not change (It will always be 30 dollars per hour)
2. The number of hours (the number of hours depends on the amount of time he stays there)
hope this helps
