The membership fee at a sports club was $600
per year. Each year, the membership fee increased by 7%.
The cost of membership, y,
can be modeled by the equation y=600(1.07)^x,
where x
is the number of years.
How many years will it take for the cost of the membership to be $900?
Choose the answer that gives the correct logarithmic equation and answer.
log(900/600) = x log(1.07)
x = 4.5 years
600(1.07)^x = 900
1.07^x = 1.5
x log 1.07 = log 1.5
x = 5.99