Answered

In a study a researcher measured a plant to be 8 cm tall. If the plant continues to grow 2 cm every week, after how many weeks will the plant reach the height of 24 cm?

Answer :

MrRoyal

Answer:

8 weeks

Step-by-step explanation:

Given

[tex]Initial\ Height = 8cm[/tex]

[tex]Growth = 2cm[/tex] weekly

Required

Determine the duration it gets to 24 weeks

First, we need to represent the scenario as a function.

Let the number of weeks be w.

So:

f(w) = Initial Height + Growth * Number of Weeks

This gives:

[tex]f(w) = 8 + 2 * w[/tex]

[tex]f(w) = 8 + 2w[/tex]

When the duration is 24 weeks,

We have that:

[tex]f(w) = 24[/tex]

Substitute 24 for f(w)

[tex]24 = 8 + 2w[/tex]

Make 2w the subject of formula

[tex]2w = 24 - 8[/tex]

[tex]2w = 16[/tex]

Make w the subject of formula

[tex]w = 16/2[/tex]

[tex]w = 8[/tex]

Hence, it'll take the plant 8 weeks to get to 24cm

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