Chapter 1.1, Problem 52E

To determine

The type of function to use in order to model the given data.

Answer to Problem 52E

Function is of absolute value category and $x-\mathrm{int}ercept$ represents that battery lasts for $5hours$ before getting drained.

Explanation of Solution

Given information: Table containing data values of time and remaining battery life.

Calculation:

As can be observed in the dataset, once the battery remaining hits the value of $0$ , it starts to increase again, one can easily imagine that its graph would be V-shaped. Hence, it can be modeled by an absolute value function.

  $x-\mathrm{int}ercept$ means the value of $x$ when $y=0$ , in this case, when battery of the computer totally exhausts then the time in hours is $5$ , this implies that battery lasts for $5hours$ before getting drained.

Thus, function is of absolute value category and $x-\mathrm{int}ercept$ represents that battery lasts for $5hours$ before getting drained.