Question

A battery with 20% percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% percent of its capacity is charged. How do you graph this

Answer 1

The relation between battery capacity and time is:

`Y=0.05t+0.2`

The graph is attached.

Explanation:

We will graph the charged capacity of the battery in function of time.

The rate of charge is constant, so we can conclude the relation is linear.

At time t=0, the battery capacity is at 0.2 (or 20%).

Every minute that passes, an additional 5% percent of its capacity is charged. So we can say that at t=1, the battery capacity is 0.2+0.05=0.25 (or 25%).

We can calculate the slope of the linear function as:

`m=(\Delta Y)/(\Delta t)=(0.05)/(1)=0.05`

Then, the relation between battery capacity and time is:

`Y=0.05t+0.2`