Answer:
It takes about 29.2 days.
**This answer can be rounded up to 30 days or down to 29 days.
Step-by-step explanation:
You want to find out how long it takes for the number of termites to double or have 2400 termites.
1. write the formula for an exponential equation of time
1200(1.024)^t = 2400
2. divide both sides by 1200
(1.024)^t = 2
3. use log to move the exponent
t log(1.024) = log(2)
4. divide to get t by itself on one side of your equation
t = log(2) / log(1.024)
5. use your calculator to solve each log and round to 4 places
t = 0.3010 / 0.0103
6. divide to get your answer
t = about 29.2 days
