Question

A plant is 20 inches tall. If the plane grows 2h inches each week for the next 4 weeks, and h inches for each 2 weeks after that, which expression shows the height of the plant in inches after 6 weeks?

OPTIONS:

A: 20+20h
B:20-10h
C:20-2h
D:20+h

Answer 1

Surely the answer would be 20 + 10h, though that isn't an option?


It grows 2h inches each week for 4 weeks, meaning (4 * 2h = 8h).

Then every 2 weeks after that, another 2h. Meaning in 6 weeks, a total of 10h.

Add this on to its original height of 20, gives us (20 + 10h)?

Answer 2

20+10h

Explanation:

Height of plant = 20 inches

The plant grows 2h inches each week for the next 4 weeks

So, The plant increase by length in 4 weeks =
`4 (2h) = 8 h`

So, Length after 4 weeks = 20 +8h

Now we are given that after 4 weeks there is an increase of h inches for each 2 weeks

So, The plant increase by length in 2 weeks =
`2h`

So, Height of plant after 6 weeks = 20 +8h + 2h = 20+10h

Hence Height of plant after 6 weeks is
`20+10h`