Question

On the windowsill is a plant that is 10 inches tall. It is growing 3 inches per

week. A second plant, which is 17 inches tall, is on the coffee table. It is
growing 2 inches per week. Eventually the two plants will be the same
height. How tall will the plants be? How many weeks will that take? *

Answer 1

it would take 9 weeks for both of the plants to equally meet the same height which is 33 inches

Explanation:

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Answer 2

Answer:18 days

Explanation:

Here's a short table of heights:

day 0: height = 1

day 1: height = 1 + (1/2)(1) = 3/2

day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2

The pattern of heights is ...

(day, height) = (0, 1), (1, 1.5), (2, 2)

The plant is growing 1/2 its original height each day, so we can write the equation ...

h = 1 + d/2

We want to find the number of days (d) that result in a height of 10 (ten times the original height).

10 = 1 + d/2

9 = d/2 . . . . subtract 1

18 = d . . . . . multiply by 2

It took 18 days for the plant to grow to 10 times its original height.