Jack plants a magic beanstalk that is 4 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. f(t) = Preview 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.) days Preview 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.) days Preview At the beginning of 2000 Scott's house was worth 248 thousand dollars and Roy's house was worth 128 thousand dollars. At the beginning of 2003, Scott's house was worth 184 thousand dollars and Roy's house was worth 160 thousand dollars. Assume that the values of both houses vary at an exponential rate. a. Write a function f that determines the value of Scott's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. f(t)=248(184/248) (1/3) Preview b. Write a function g that determines the value of Roy's house (in thousands of dollars) in terms of the number of years t since the beginning of 2000. g(t) 128(160/128) (1/3) Preview c. How many years after the beginning of 2000 will Scott's and Roy's house have the same value? years Preview