A rat population is currently 10000. It would triple after 120 days. How many days does the population stay under 100000?

I think the answer is 120 days

Step-by-step explanation:

After 120 days, population will be 10000 times 3 which is equal to 30000

After another 120 days, population will be 30000 times 3 which is equal to 90000 and 90000 is under 100000

hence after 240 days, the population will still stay under 100000

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.