High School

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Adam planted a new dogwood tree in his backyard. The function [tex] h(x) [/tex] gives the height of the tree in feet after [tex] x [/tex] years have passed.

What does [tex] h(7) > 8 [/tex] tell you?

A. The tree was over 8 feet tall when 7 years had passed.
B. The tree was under 7 feet tall when 8 years had passed.
C. The tree was over 7 feet tall when 8 years had passed.
D. The tree was under 8 feet tall when 7 years had passed.

Answer :

We are given the function
[tex]$$
h(x)
$$[/tex]
which represents the height of the tree in feet after [tex]$x$[/tex] years. The inequality
[tex]$$
h(7) > 8
$$[/tex]
tells us that when [tex]$x = 7$[/tex], the height of the tree is greater than [tex]$8$[/tex] feet.

Here is the step-by-step reasoning:

1. The function [tex]$h(x)$[/tex] gives the height of the tree after [tex]$x$[/tex] years.
2. By setting [tex]$x=7$[/tex], we have [tex]$h(7)$[/tex] representing the tree's height after 7 years.
3. The inequality [tex]$h(7) > 8$[/tex] means that this height is greater than [tex]$8$[/tex] feet.
4. Therefore, the statement "The tree was over 8 feet tall when 7 years had passed" is correct.

So, the final answer is: The tree was over 8 feet tall when 7 years had passed.

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Rewritten by : Jeany

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