Answer: 6 months
Step-by-step explanation:
1. If the first plant has an initial height of 3 inches and grows at a constant rate of 2 inches each month, you can write the following expression:

Where h is the height and m is tshe number of months.
2. The constant rate of growth of the second plant is:

3. Then, the expression is:

4. Equal both equations and solve for m:

5. Therefore, the plants have the same height after 6 months.
Answer:
f(x) = 10
Step-by-step explanation:
for direct variation
f(x) = kx
substitute in for f(x) and x
40 = k*8
solve for k
40/8 = k*8/8
5 =k
now we have
f(x) = 5*x
let x=2
f(x) = 5*2
f(x) = 10
Point slope form: y - y1 = m(x - x1)
(x1, y1) = a point
m = slope
We are given:
(x1, y1) = (1, 2)
m = 3/2
Put into the original equation:
y - 2 = 3/2(x - 1)
Best of Luck!