Question

anthony owns an electric car. he accidentally left it on overnight, completely draining the battery. the charger in his garage takes 8 hours to fully charge the battery. the function p(h) represents the percentage the battery has been charged after charging for h hours. what is the domain of p(h)? all whole numbers all real numbers from 0 to 8 all real numbers greater than or equal to 0 all whole numbers from 0 to 8

Explanation:

Step1: Understand the concept of domain

The domain of a function is the set of all possible input values. In this case, the input is the number of hours \(h\) of charging.

Step2: Analyze the charging time range

The charger takes 8 hours to fully charge the battery. The number of hours \(h\) can range from \(0\) (start of charging, \(0\) hours passed) to \(8\) (fully - charged). Also, the number of hours \(h\) can be any fraction (e.g., \(h = 1.5\) hours). Real numbers include all rational and irrational numbers (fractions, decimals, etc.), while whole numbers are \(0,1,2,\cdots\). Since \(h\) can be a non - whole number (like \(3.5\) hours), we consider real numbers.

Answer:

all real numbers from \(0\) to \(8\)