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A cell phone battery charges at a rate of 16% every thirty minutes. When initially plugged into the charger, a cell phone has 10% battery.


1.Write an equation relating the amount of time, measured in hours, it takes to charge a cell phone as a function of the battery charge.
2.Use complete sentences to describe the rate in which the battery charges in terms of the time that it is charging.

Answer :

MUSICLOVER10045GO

30 minutes is 1/2 an hour so 16 x 2 = 32 the phone charges at 32% per hour.

1. Multiply the number of hours by the rate and add the original 10% to that for total charge:

Y = 0.32h + 0.10

2. The phone charges at 16% every thirty minutes which is a half hour so you double the rate it charges to get the rate per hour. The phone charges at 32% per hour that it is charging.

The required equation relating the amount of times is Y = 0.32t+0.10.

A cell phone battery charges at a rate of 16% every thirty minutes. When initially plugged into the charger, a cell phone has 10% battery.

What is equation?

Equation can be defines. the relation in sentences transform into math expression.
Since battery already has 10% charge i.e. we have 0.10 of intercept
now rate  = slope = m
for 30 min rate is 16%, for 1 hr rate become 32% =
hence slope = 32% = 0.32
now put slope and intercept in equation y = mt + c
then,
y = 0.32t + 0.10
where t is time
so the required function is given be
F(t) =   0.32t + 0.10

Thus, the battery increases by 32% every hour. and required relation is F(t) =   0.32t + 0.10

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