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

Question

8 days ago

15

its capacity is charged. How do you graph this

1 answer:

Inessa [9K] · Answer 1 · 2026-03-20T12:37:02+03:00

Response:

The connection between battery capacity and time is:

$Y=0.05t+0.2$

The associated graph is provided.

Step-by-step explanation:

We will plot the battery's charged capacity against time.

The charging rate remains steady; hence, the relationship is linear.

Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).

With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).

We can derive the slope for the linear function as:

$m=\dfrac{\Delta Y}{\Delta t}=\dfrac{0.05}{1}=0.05$

Consequently, the correlation between battery capacity and time is:

$Y=0.05t+0.2$