Acell 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.

C(t) = 0.32t + 0.10

Step-by-step explanation:

A cell phone charges at a rate of 16% every thirty minutes. It means 32% battery gets charged in one hour.

Then charging of cell phone in t hours = 0.32t

When cell phone is initially plugged into a charger, cell phone had 10% battery so total charge in t hours will be = (0.32t + 0.10)

Then charging of the cell phone may be defined as C(t) = 0.32t + 0.10

2). Therefore, a linear equation defines the charging of cell phone and slope defines the rate of charging of the battery.

2.8 hours and the phone will be fully charged.

Step-by-step explanation:

16% per 30 minutes = 32% per hour

(100-10) ÷ 32 = the amount of hours it will take to fully charge the battery.