Question

question
when aiden left his house in the morning, his cell phone battery was partially charged. the charge remaining in aiden’s battery, as a percentage, can be modeled by the equation equation not fully visible where t is the number of hours since aiden left his house. what is the slope of the equation interpretation in the context of the problem?
answer attempt 1 out of 5
the slope of the function is \boxed{} which reveals
the percentage charge that aiden’s phone loses each hour
the rate that aiden’s phone gains charge per hour
the number of hours until aiden’s phone dies
the charge of the battery when aiden left his house

Explanation:

Step1: Analyze the context

The problem is about a linear model for the battery charge of Aiden's phone over time. A linear function for a quantity that decreases (like battery charge over time if it's not charging) will have a negative slope, representing the rate of decrease per unit time.

Step2: Evaluate each option

• "the percentage charge that Aiden’s phone loses each hour": If the slope is negative (assuming the battery is draining), this makes sense as it's the rate of change (decrease) in percentage per hour.
• "the rate that Aiden’s phone gains charge per hour": This would be positive slope, but since the battery is likely draining (as he left home and it's a remaining charge model), this is incorrect.
• "the number of hours until Aiden’s phone dies": The slope is a rate, not a time to die (that would be related to the x-intercept or solving for when the charge is 0).
• "the charge of the battery when Aiden left his house": That's the y-intercept (initial value), not the slope.

Answer:

the percentage charge that Aiden’s phone loses each hour