Question

The function y=-0.23x+1 represents the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer. Identify and interpret the slope. The slope is [-0.23 or 1]. This means that the power [decreases or increases] by [23% or 100%] per hour.

Answer 1

The slope is -0.23. This means that the power decreases by 23% per hour.

Explanation:

Given the function y=-0.23x+1 that represents the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer, we are to identify and interpret the slope

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

On comparison, you will see that;

-0.23x= mx

-0.23 = m

rearrange

m = -0.23

Hence the slope is -0.23

Since the slope is negative, it shows that the power decreases by 23% per hour (0.23 = 23%)