Question

function h(t) gives the height of a tree in meters t years after planting. what does h(5) = 3 mean?
height has been 5 m for 3 years.
the tree is 5 m tall after 3 years.
the tree is 3 m tall after 5 years.
the tree is 3 m tall after 5 months.

Explanation:

The function \( h(t) \) represents the height of the tree in meters \( t \) years after planting. So \( h(5) = 3 \) means when \( t = 5 \) (5 years after planting), the height \( h \) is 3 meters. We analyze each option:

• "Height has been 5 m for 3 years": Incorrect, as \( h(5)=3 \) doesn't imply this.
• "The tree is 5 m tall after 3 years": Incorrect, \( t = 5 \) not 3, and height is 3 not 5.
• "The tree is 3 m tall after 5 years": Correct, matches \( t = 5 \) years and \( h = 3 \) meters.
• "The tree is 3 m tall after 5 months": Incorrect, \( t \) is in years, not months.

Answer:

The tree is 3 m tall after 5 years.