The slope of -6 means that, the battery reduces by 6% each hour and the equation is [tex]B = -6t+48[/tex]
The points
The points on the graph are represented using the following ordered pair
(1, 42) and (5,18)
The slope
Start by calculating the slope (m) using:
[tex]m = \frac{B_2 -B_1}{t_2 - t_1}[/tex]
So, we have:
[tex]m = \frac{18 -42}{5- 1}[/tex]
[tex]m = -\frac{24}{4}[/tex]
[tex]m = -6[/tex]
The equation
The equation is then calculated as:
[tex]B = m(t -t_1) + B_1[/tex]
This gives
[tex]B = -6(t -1) + 42[/tex]
Expand
[tex]B = -6t+6 + 42[/tex]
[tex]B = -6t+48[/tex]
The slope of -6 means that, the battery reduces by 6% each hour
Read more about linear equations at:
https://brainly.com/question/14323743
