Question

A gardener measured the heights of two plants at the end of every week. The function y=3x+8.5 gives the hight of plant a in centimeters at the end of x weeks. The function y= 2.5x+14.5 gives the hight of plant b in centimeters at the end of x weeks

Answer 1

12 weeks

Explanation:

Step one:

given data

let the heights of the plants be y

and the number of weeks be x

Plant A

y=3x+8.5--------------1

Plant B

y=2.5x+14.5----------2

Required

The number of weeks taken for both plants to have the same height

,equate the two expressions above

3x+8.5=2.5x+14.5

3x-2.5x=14.5-8.5

0.5x= 6

divide both sides by 0.5

x= 6/0.5

x= 12 weeks