Question

Company promises to release a new smartphone model every month. Each models battery life will be 4% longer than the previous models. If the current models battery life is 632.0 minutes , what will the latest models battery life be 10 months from now?

A) 1057.1
B) 935.5
C)580.0
D)1066.5

Answer 1

To find the battery life of the latest model 10 months from now, we need to calculate the cumulative increase in battery life over the 10-month period.

The battery life of each model increases by 4% compared to the previous model. Therefore, the battery life of the second model is
`\displaystyle 100\% + (4)/(100) = 104\%` of the first model's battery life. Similarly, the battery life of the third model is
`\displaystyle 104\% + (4)/(100) = 108.16\%` of the second model's battery life, and so on.

Using this pattern, the battery life of the latest model 10 months from now can be calculated as follows:

`\displaystyle 632.0 \, \text{minutes} * \left(1 + (4)/(100)\right)^(10)`

Simplifying this expression, we get:

`\displaystyle 632.0 * \left(1.04\right)^(10)`

Calculating this expression, we find that the latest model's battery life 10 months from now is approximately 1057.1 minutes.

Therefore, the correct answer is A) 1057.1.

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