The function model that represents the amount of battery left after a period of time is y = 1 ₋ 10%x
Given, Miranda bought a new cell phone which is consuming battery at a rate of 5% for every half an hour.
We are required to establish a function model that depicts how much battery is remaining after a certain amount of time.
Let y represent the amount of battery left.
and x represent the number of hours.
Then 5% per half an hour = 5% × 2 = 10%
Now frame the function model:
The amount of battery left = 1 ₋ (rate percent at which battery is being consumed)(The number of hours left)
⇒ y = 1 ₋ 10%(x)
⇒ y = 1 ₋ 10%x
As a result, we obtained the function model for the battery's remaining capacity as y = 1 ₋ 10%x
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