Question to Find an Exponential Function

Topic : An Exponential Function

Question : Write as an exponential function



Solution :
x
y = 4(1.7)
ln y = ln 4 + x (ln(1.7))
= 1.3862 + x (0.5306)

So we have






Hope the Solution did the needful.

Question on Finding Unknown Value of a Variable

Topic : Reservoirs Word Problem

Question : During a drought, east reservoir which began the month 6 ft. below full, is dropping at a rate of 4 inches per day. west reservoir which began the month 4 feet below full is dropping at a rate of 6 inches per day. use a table or solve an equation to find when the reservoirs will be the same amounts below full.

Answer :
East reservoir = X - 72 -
West Reservoir = X - 48 -
when both are
X - 72 - 4T = X - 48 - 6T
2T = 24
T= 12 days,
So the aswer is 12 days(x can be any value)

Hope the above answer is useful for you.