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Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.

The variable [tex]$h$[/tex] models the height of the tree (in centimeters), [tex]$t$[/tex] years since Renata moved in.

[tex]\[ h = 210 + 33t \][/tex]

How tall was the tree when Renata moved in?
[tex]\[
\text{centimeters}
\][/tex]



Answer :

GinnyAnswer
To determine the height of the tree when Renata moved in, we can evaluate the given equation of the height, [tex]\( h = 210 + 33t \)[/tex], at the specific time [tex]\( t \)[/tex].

Since Renata's move-in time is considered the initial time, [tex]\( t = 0 \)[/tex] years. Let's substitute [tex]\( t = 0 \)[/tex] into the equation and solve for [tex]\( h \)[/tex]:

[tex]\[ h = 210 + 33t \][/tex]

Substitute [tex]\( t = 0 \)[/tex]:

[tex]\[ h = 210 + 33 \times 0 \][/tex]

Calculate the value:

[tex]\[ h = 210 + 0 \][/tex]

[tex]\[ h = 210 \][/tex]

Thus, the height of the tree when Renata moved in was [tex]\( 210 \)[/tex] centimeters.

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