Two cities are dealing with the pandemic differently. Suppose that the number of cases in each city is being modeled by continuous and differentiable functions,A(t)for city A, andB(t)for city B.

It is found that for the first 100 days of the pandemicA'(t)>B'(t)>0. You can assume at the start that both cities had no cases.

After 100 days, city A has 30,000 cases. The mayor of city A claims that this means that at some point in the first days cases where rising at a rate of 300 cases a day. Is the mayor right or wrong and why?

This is right. We can use the Mean Value Theorem to show this is true.

This is wrong. We can use the Mean Value Theorem to show this is false.

This is wrong. We can use the Increasing Function Theorem to show this is false.

This is right. We can use the Racetrack Principle to show this is true.

This is wrong. We can use the Racetrack Principle to show this is false.

This is right. We can use the Increasing Function Theorem to show this is true.