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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

Verified Answer :

kaevras

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:

20+10h

Step-by-step 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 \(20+10h\)

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