Question

The percentage of a battery's capacity as a function of time, in minutes, is shown in the graph.Charge vs time linear graphSelect the statements that correctly represent key features of the situation modeled. The battery charges at 2% per minute. The graph has a maximum at (30,100). The battery charges at 5% per minute. The battery's initial charge level is represented by the x-intercept. The battery's initial charge level is represented by the y-intercept.

Answer 1

The battery charges at a rate of 2%/minute, so the first statement is true

`(dy)/(dx)=(50-40)/(5-0)=(10)/(5)=2`

Additionally, we can see that there's a maximum at 100%, so the following statement is also true: 'The graph has a maximum at (30,100)'

Finally, the following statement is also true: 'The battery's initial charge level is represented by the y-intercept'