Question

question when aiden left his house in the morning, his cell phone battery was partially charged. the charge remaining in aidens battery, as a percentage, can be modeled by the 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 percentage charge that aidens phone loses each hour the number of hours until aidens phone dies the charge of the battery when aiden left his house the rate that aidens phone gains charge per hour answer attempt 1 out of 2

Explanation:

Step1: Recall the slope - intercept form

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(B=-2t + 26\), it is in the form \(y = mx + b\) (here \(B\) is like \(y\) and \(t\) is like \(x\)).

Step2: Identify the slope

Comparing \(B=-2t + 26\) with \(y = mx + b\), the coefficient of \(t\) is \(m=-2\). The slope represents the rate of change. Since the battery charge \(B\) is a function of time \(t\), a negative slope means the battery charge is decreasing.

Answer:

The slope of the function is \(- 2\), which represents the percentage charge that Aiden's phone loses each hour.