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last month, margo bought a tree that grows each day. it was tall when she bought it and now it is tall. write an equation to determine the number of days margo has owned the plant.

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Margo has owned the plant for 24 days.

Let's denote the initial height of the tree as
h_0 (5 cm), the growth rate as r (2.5 cm/day), and the current height of the tree as h (65 cm). The number of days Margo has owned the plant is represented by d.

The equation for the height of the tree as a function of time is given by:

h(d)=
h_0 + r ⋅ d

In this case, h(d)=65 cm and
h_0 =5 cm, so the equation becomes:

65 = 5 + 2.5 ⋅ d

Now, solve for d:

2.5 ⋅ d= 65 − 5

2.5 ⋅ d=60

d=
(60)/(2.5)

d=24

So, Margo has owned the plant for 24 days.

Question

Last month, Margo bought a tree that grows 2.5 cm each day. It was 5 cm tall when she bought it and now it is 65 cm tall. Write an equation to determine the number of days (d) Margo has owned the plant. Find the number of days Margo has owned the plant. Find the number of days Margo has owned the plant.

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