Question

The function y=-0.25+1 represents the percent y (in decimal form)  A battery power remaining x hours after you turn on the laptop computer. Identify and interpret the slope.
The slope is ___. This means that the power ____ by ____ per hour

Answer 1

Answer:

The slope is -0.25. This means that the power reduces by 0.25 percent per hour

Step-by-step explanation:

Given

$y = -0.25x + 1$

Required

Identify and interpret the slope

An equation has a general form:

$y = mx + b$

Where

$m = slope$

Compare $y = mx + b$ to $y = -0.25x + 1$

We have:

$mx = -0.25x$

Divide both sides by x

$\frac{mx}{x} = \frac{-0.25x}{x}$

$m = \frac{-0.25x}{x}$

$m = -0.25$

Because the result of the above calculation is negative, it means that the function reduces

The given function measures the percentage of power by hour.

So, the power reduces by 0.25% per hour