When Camden left his house in the morning, his cell phone battery was partially charged. Camden’s phone lost battery life at a rate of 4% ea

Question

When Camden left his house in the morning, his cell phone battery was partially charged. Camden’s phone lost battery life at a rate of 4% each hour and 2 hours after leaving his house, the battery had 24% remaining battery life. Write an equation for the function
B
(
t
)
,
B(t), representing the charge remaining in Camden’s battery, as a percentage,
t
t hours after Camden left his house.

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Serenity 2 weeks 2021-09-10T14:00:15+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T14:01:59+00:00

    Answer:

    B(t) = (32 – 4t)% when 0 ≤ t ≤ 8

         = 0 %  for t > 8

    Step-by-step explanation:

    According to the question, when Camden left his house in the morning,

    the charge in his battery was,

    (24 + 2 \times 4) %

    = 32 %

    So, the charge in Camden’s phone, t hours after he left the house is given by,

    B(t) = (32 – 4t) % ————(1)

    Now clearly in (1),

    0 ≤ t ≤ \frac {32}{4}

    ⇒ 0 ≤ t ≤ 8  since charge in mobile phone can’t have a negative percentage and time after Camden left home can’t be negative.

    So,

    B(t) = (32 – 4t)% when 0 ≤ t ≤ 8

         = 0 %  for t > 8

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