Final answer:
The latest model's battery life five months from now would be approximately 761.54 minutes.
Step-by-step explanation:
To find the battery life of the latest model five months from now, we can use exponential growth. Since each new model's battery life is 6% longer than the previous model, we can use the formula:
Latest Model Battery Life = Current Model Battery Life * (1 + Growth Rate)^n
Where the Current Model Battery Life is 629.0 minutes, the Growth Rate is 0.06, and n is the number of months (five in this case).
Plugging in the values into the formula, we get:
Latest Model Battery Life = 629.0 * (1 + 0.06)^5
Using a calculator, the latest model's battery life five months from now would be approximately 761.54 minutes.