Question

When Charlotte left her house this morning, her cell phone was 30% charged and it then started to lose 2.5% charge for each hour thereafter. Write an equation for B in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house.

Answer 1

Given :- When Charlotte left her house this morning, her cell phone was 30% charged and it then started to lose 2.5% charge for each hour thereafter. Write an equation for B in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house. ?

Solution :-

given that,

→ charge in battery in the phone when Charlotte left her house this morning = Let B = 30% .

→ charge in battery losing per hour = 2.5%

→ Time for which she remains out of the house = Let t hours .

So,

→ in hour chaege in battery loose = 2.5%

then,

→ in t hours charge in battery will loose = 2.5 * t = 2.5t % .

Therefore,

→ Left charge in battery in the phone after t hours = Battery in the phone when Charlotte left her house - battery loose in t hours

→ Left charge in battery in the phone after t hours = 30% - 2.5t% = (30 - 2.5t)% .

Hence,

→ charge remaining in Charlotte's battery ,t hours after Charlotte left her house is = (30 - 2.5t)% .

And,

→ Required equation :-

• B = (30 - 2.5t)% .

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