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4. A 2-inch-tall plant grows at a rate of 2.5 inches every week for 5 weeks. Let x represent the number of weeks and y represent the height of the plant.​

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Final answer:

The height of the plant after 5 weeks would be 12 inches.

Step-by-step explanation:

To represent the number of weeks as x and height of the plant as y, we can create an equation:

y = 2x + 2

Here, the number of weeks (x) is multiplied by the growth rate (2.5 inches/week) and added to the initial height of the plant (2 inches).

For 5 weeks, plug in 5 for x in the equation to find the height of the plant:

y = 2(5) + 2

y = 10 + 2

y = 12 inches

Therefore, after 5 weeks, the height of the plant would be 12 inches.

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