Question

the table shows the amount of gas in mr. orbison’s tank, y, as a function of the number of hours he drives, x. describe the initial value of the function. the initial value is ?. it represents the amount of gas ?. chart: driving time (h), x | gas in tank (gall), y; 0 | 27; 1 | 25; 2 | 23; 3 | 21

Explanation:

Step1: Recall the definition of initial value

The initial value of a function \(y = f(x)\) is the value of \(y\) when \(x = 0\).

Step2: Find the value of \(y\) when \(x = 0\)

Looking at the table, when \(x=0\) (driving time \(x = 0\) hours), \(y = 27\) gallons.

Answer:

The initial value is \(27\). It represents the amount of gas in the tank when Mr. Orbison has driven \(0\) hours (the starting amount of gas in the tank).