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Melissa’s garden is growing! She notices her tomato plants were 2 inches the first week, 4 inches the second week, 8 inches the third week, and 16 inches the fourth week! Her tomato plant is doubling in size each week. She wants to be able to predict how tall it might be each week so she tries to write an equation to show the growth. She comes up with y=2x, where x is the number of weeks, and y is the height of the plant.

User Ygram
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1 Answer

4 votes

Answer:

10 inches tall in the 5th week

Explanation:

It looks like Melissa's equation, y = 2x, is a good representation of her tomato plant's growth. In this equation:

- "x" represents the number of weeks that have passed.

- "y" represents the height of the tomato plant in inches.

The equation y = 2x reflects the doubling pattern you mentioned. Each week, the height of the plant doubles from the previous week's height. This is a simple and accurate way to predict the height of her tomato plant at any given week, assuming the doubling pattern continues.

For example, if you want to know how tall the plant will be in the 5th week (x = 5), you can plug this value into the equation:

y = 2x

y = 2(5)

y = 10

So, the tomato plant would be 10 inches tall in the 5th week according to this equation.

User Jorge Machado
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