Answer:
the rate of change is 3 inches per week
The plant is 8 inches tall when it was planted
Step-by-step explanation:
let x= the week number
y = height
(5,23) at 5 weeks it was 23 inches
m=3 inches per week (since it has linear growth, it must grow 3 inches per week every week)
the rate of change is 3 inches per week
to find the initial height we need to find the y intercept
to get that we start with point slope form
y-y1 = m(x-x1)
y-23 = 3 (x-5)
distribute
y-23 = 3x-15
add 23 to each side
y = 3x-15+23
y = 3x-8
the y intercept is 8 inches
The plant is 8 inches tall when it was planted
