Answer:
Step-by-step explanation:
Let the equation of the function is,
y = mx + b
Here, m = slope of the function
b = y-intercept
y-intercept of function is the y-value of a point where x = 0.
From the table given,
y-intercept 'b' = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (2, 6) and (4, 2) will be,
Slope = [tex]\frac{6-2}{2-4}[/tex]
= [tex]-2[/tex]
Equation of the line will be,
y = -2x + 1
B). Slope of the line = -2
x-intercept of the line (at y = 0),
y = -2x + 1
0 = -2x + 1
x = [tex]\frac{1}{2}[/tex]
y-intercept of the line = 1
y-intercept indicates that the power of the battery was 100% when we turn on the laptop.
C). Equation of the line is,
y = -2x + 1
Here, y = power remaining
x = Hours
For y = 75% ≈ 0.75
0.75 = -2x + 1
0.75 - 1 = -2x
-0.25 = -2x
x = 0.125
Therefore, after 0.125 hours battery power will be 75%.
