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A plant is 20 inches tall. If the plant grows 2h inches each week for the next 4 weeks, and h inches for each of the 2 weeks after that, which expression shows the height of the plant in inches after 6 weeks? A) 20 + 10h B) 20 - 10h C) 20 - 2h D) 20 + h

Please give a simple and clear answer.

2 Answers

6 votes
A) 20+10h

You know that you have 20 inches to start with, then it will grow 2h four times, or 8h total. Then it will grow h 2 times, or 2h. You add the 20, 8h, and 2h, to get 20+10h.

Hope this helps!
User Lightxx
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4 votes

Answer:

Option A is correct

20+10h

Explanation:

As per the statement:

A plant is 20 inches tall.

It is also given that:

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


(2h) \cdot 4 = 8h

and

h inches for each of the 2 weeks .


(h) \cdot 2 = 2h

Then, every 2 weeks after that, another 2h.

⇒ in 6 weeks, a total of 10h inches height of the plant grows

We have to find the expression shows the height of the plant in inches after 6 weeks.

Initially, a plant is 20 inches tall.

in 6 week, a total of 10h inches height of the plant grows

⇒the height of the plant in inches after 6 weeks = 20 + 10h

Therefore, the expression shows the height of the plant in inches after 6 weeks is, 20+ 10h

User Johan Willfred
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