Final answer:
To find the cheetah's average rate for the entire trip, we will use the equation (d * r² + d * r₁) = d * (r² + r₁) and simplify it.
Step-by-step explanation:
To find the cheetah's average rate for the entire trip, we will use the equation given: (d * r² + d * r₁) = d * (r² + r₁). From this equation, we can simplify and solve for the average rate:
d * r² + d * r₁ = d * (r² + r₁)
dr² + dr₁ = dr² + dr₁
Therefore, the cheetah's average rate for the entire trip is equal to the rate at any given time.