Question

Jack plants a 5 centimeter beanstalk in his back yard. For the next month, Jack notices that each day the beanstalk is 15% taller than it was the previous day. Which formula represents the height of the beanstalk (in centimeters) as a function of the number of days, t, since it was planted

Answer 1

`H= 0.15x+ H`

Explanation:

This problem requires that we produce a model that describes the daily height of the beans stalk

let us describe some variables

the daily height is H

let the initial height be h= 5 cm

and the daily increment be 15%= 0.15

and also the number of days be x

We can use the equation of straight line to model the daily height of the beans stalk

i.e

`y= mx+c`

hence the formula for the height of the beanstalk is

`H= 0.15x+ H`