The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer. A. Write and graph a linear function that relates y to x

B. Interpret the slope , the x-intercept , and the y intercept

C. After how many hours is the battery power at 75%?

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 and is given by,

Slope =

Slope of the line passing through (2, 6) and (4, 2) will be,

Slope =

          =

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 =

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%.

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step-by-step explanation:

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