Question

When Aiden left his house in the morning, his cell phone battery was partiallycharged. The charge remaining in Aiden's battery, as a percentage, can be modeled bythe equation B = -2t + 26, where t is the number of hours since Aiden left his house. What is the slope of the equation and what is its interpretation in the context of the problem?The slope of the function is ___ which reveals (the number of hours until Aiden's phone dies, the percentage charge that Aiden's phone loses each hour, the rate that Aiden's phone gains charge per hour, or the charge of the battery when Aiden left his house).

Answer 1

The charge remaining in Aiden's battery, as a percentage is given by

the equation B = -2t + 26.

This equation is similar to the straght line equation y=mx+c, where m is the slope. The slope is the change in y with respect to x.

In the equation B=-2t+26, t, the number of hours since Aiden left his house, is equivalent to x coordinate and B, the charge remaining in Aiden's battery, is equivalent to y coordinate.

Comparing both equations, the slope of B=-2t+26 is -2. The slope of the equation is the change in B with respect to change in t. Therefore, the slope of B=-2t+26 gives the percentage charge that Aiden's phone loses each hour.

The slope of the function is _-2__ which reveals percentage charge that Aiden's phone loses each hour.