Select all the correct answers.
when shopping for accessories for her action camera, giana found an advertisement for a replacement battery. the advertisement includes the
given graph of a function to represent the charge remaining in the battery after streaming x hours of video.
battery charge (%)
0
2
4 6 8 10 12
time (hours)
which statements describe features of the graphed function?
the equation of the function is y=-25 x + 100.
the domain for the function is [0.12].
the equation of the function is 25x + 2y = 200.
the y-intercept for the function is (0.120).
the x-intercept for the function is (8.0).
the equation of the function is y- 100 = -x 8),

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).