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Miranda bought a brand-new cell phone. She noticed that the battery
consumes a rate of 5% per half an hour. Determine a function model that
represents the amount of battery left after a period of time.


Sagot :

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

Learn more about Function models here:

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