Because of the large increase in the price of tofu, Ms. Vigor changed her diet to 1,200 bottles of carrot juice and 250 pounds of tofu in 2010. Calculate Vigor’s rate of inflation using C₂₀₀₀ = cost of 1,200 bottles of carrot juice and 250 pounds of tofu in 2000 and C₂₀₁₀ = cost of 1,200 bottles of carrot juice and 250 pounds of tofu in 2010. What was the percentage increase in Vigor’s cost of living between 2000 and 2010? Is the percentage increase in her cost of living higher, lower, or the same when we use her 2010 purchases in place of her 2000 purchases?

Explain why your answer makes sense intuitively.