SOLUTION: Jack plants a magic beanstalk that is 5 feet tall. The height of the magic beanstalk increases exponentially, doubling each day. a. Write a function f that determines the heigh

Question 1124885: Jack plants a magic beanstalk that is 5 feet tall. The height of the magic beanstalk increases exponentially, doubling each day.
a. Write a function f that determines the height of the beanstalk (in feet) in terms of the number of days t since the beanstalk was planted.
b. If the moon is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the moon? (The moon is 238,900 miles from the earth, and there are 5,280 feet in 1 mile.)
c. If the sun is directly over the beanstalk, how many days after the beanstalk was planted would the beanstalk reach the sun? (The sun is 92,960,000 miles from the earth, and there are 5,280 feet in 1 mile.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
f(t)=5*2^t
238900*5280/5=2^t
2^t=252278400
t ln 2=ln(252278400)
t ln 2=19.346 days
t=27.91 days
92960000*5280/5=2^t=9.81 x 10^10
t ln 2=25.31
t=36.51 days
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