Question

4.7.5 stepping stones
the function, ( h(x) = 2x - 5 ), models the height, ( h ), in feet, of a tree, where ( x ) is the age of the tree, in years.
what is the age of a tree that is 33 feet tall?

• 14 years
• 19 years
• 57 years
• 72 years

Explanation:

Step1: Set up the equation

We know that \( h(x) = 2x - 5 \) and \( h(x)=33 \), so we set up the equation \( 2x - 5 = 33 \).

Step2: Solve for x

First, add 5 to both sides of the equation: \( 2x - 5 + 5 = 33 + 5 \), which simplifies to \( 2x = 38 \). Then, divide both sides by 2: \( x=\frac{38}{2}=19 \).

Answer:

19 years