Jack plants a magic beanstalk that is 3 feet tall. The height of the magic beanstalk increases exponentially, doubling each day.
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)=
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
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
1). The exponential function equation is given by F(t)=a*b^(t)-(1).a) Given a=3.Also given, the height of the magic beanstalk increases exponentially, doubling each day which means F(t)=2a when t=1." (1) "{:[=>2a=a*b^(')],[=>2=b],[=>b=2]:}(1) =>F(t)=a*2^(t)Given a=2Function ' F ' that determines the height of the beanstalk in terms of the number of days 't ' since the beanstalk was. plantedb). Given f(t)=238900 miles.convert this miles in feet[\begin{array}{l}\Rightarrow 238900 \text { miles }=238900 \times 5280 \text { Feet } \=1261392000 \text { feets } \\end{array}]we have to find rumber of dass (t) when{:[F(t)=1261392000],[(2)=>1261392000=3.2^(t)],[=>(1261392000)/(3)=2^(t)],[=>420464000=2^(t)]:}T ... See the full answer