Let t be the time elapsed since it arrived at the nursery and let g be the height at any time, t.
Notice....at t = 0, h = 2 cm = ( 0, 2)
And at t = 2, h = 5 = (2, 5)
So.....to get a linear equation, we first need to find the slope.....so we have
[ 5 - 2 ] / [ 2 - 0 ] = 3/2 and using (0, 2) we have
y - 2 = (3/2) (x - 0)
y = (3/2)x + 2 and we can this linear function as :
g(t) = (3/2)t + 2
(2) 3 months = 12 weeks....so we have
g(12) = (3/2) (12) + 2 = 18 + 2 = 20 cm
