After about 1,000 charges, smartphone batteries lose about one-fifth of their charging capacity. A brand new phone is currently at 78%. What would this phone's battery percentage show after 1,000 charging cycles? (round to the nearest whole number)(1 point) Responses 16% 16% 78% 78% 62% 62% 100%
After 1,000 charging cycles, the phone's battery percentage would show 62%.
To calculate the battery percentage after 1,000 charging cycles, we need to consider that the battery loses one-fifth of its charging capacity after about 1,000 charges. This means that after 1,000 charging cycles, the battery will retain 4/5th (or 80%) of its original charging capacity.
Since the brand new phone is currently at 78%, if we assume that 78% is its full charging capacity, we can calculate the battery percentage after 1,000 charging cycles by multiplying 78 by 80%:
78 * 0.8 = 62.4
Rounding this value to the nearest whole number will give us 62.
Therefore, the phone's battery percentage after 1,000 charging cycles would be approximately 62%.
To calculate the phone's battery percentage after 1,000 charging cycles, we first need to calculate the decrease in charging capacity after each cycle.
According to the given information, after about 1,000 charges, smartphone batteries lose one-fifth of their charging capacity. This means that after each charging cycle, the battery capacity will decrease by (1/5) or 20%.
Since the current battery percentage is 78%, we can calculate the new battery percentage after 1,000 charging cycles as follows:
Battery decrease per cycle: 20%
Number of cycles: 1,000
New battery percentage = Current battery percentage - (Battery decrease per cycle * Number of cycles)
New battery percentage = 78 - (0.20 * 1,000)
New battery percentage = 78 - 200
New battery percentage = -122
Since the calculated value is negative (-122), it doesn't make sense in the context of battery percentage. Therefore, the closest reasonable option from the given choices is 16%.