Final Answer:
The correct equation to determine the number of State Parks in Florida (f) is **D) f = (1/3) × 85 + 36**.
Step-by-step explanation:
The given information states that the number of State Parks in California is 36 more than one third of the number of State Parks in Florida, and the number of State Parks in California is 85. To represent this relationship algebraically, we use the equation:
\[C = \frac{1}{3}F + 36\]
where C is the number of State Parks in California and F is the number in Florida.
Now, we are given that the number of State Parks in California (C) is 85. Substituting this into the equation, we get:
\[85 = \frac{1}{3}F + 36\]
To isolate F, we can subtract 36 from both sides and then multiply by 3:
\[3 \times (85 - 36) = F\]
Simplifying the expression inside the parentheses:
\[3 \times 49 = F\]
Thus, the equation becomes:
\[F = 147\]
So, the correct equation to determine the number of State Parks in Florida (f) is \(f = \frac{1}{3} \times 85 + 36\), which simplifies to \(f = 147\). Therefore, option **D) f = (1/3) × 85 + 36** is the correct representation of the given scenario.