Question

pre-algebra ic sem 1 fall 2025
analytic geometry
the table of values here represents a linear function and shows marcos progress as he is pumping gas into his car. what
is the output for the initial value?
gas in macros car
seconds spent pumping
gas
gallons of gas in car
0
3
12
5
24
7
36
9
48
11
0 gallons
3 gallons
2 gallons
6 gallons

Explanation:

Step1: Recall the definition of initial value

The initial value of a function is the value of the output when the input is \(0\). In the context of a linear function \(y = mx + b\), the initial value is \(b\) (the \(y -\)intercept).

Step2: Identify the input - output pair for the initial value

In a table representing a function, when the input (in this case, seconds spent pumping gas) is \(0\), the corresponding output (gallons of gas in the car) is the initial value. Looking at the table, when the seconds spent pumping \(x = 0\), the gallons of gas \(y=3\).

Answer:

\(3\) gallons