Question

select the correct answer.
sam and his mother made an agreement for the upcoming weekend concerning internet usage and watching television. the function on the graph below represents the agreement they made.
if sam follows the agreement, what does the x-intercept represent?

Explanation:

Step1: Understand the axes

The x - axis is "Hours on Internet" and the y - axis is "Hours watching Television".

Step2: Recall x - intercept definition

The x - intercept is the point where \(y = 0\) (the graph crosses the x - axis). At this point, the value of the y - variable (hours watching television) is 0.

Step3: Interpret the x - intercept

Looking at the graph, the x - intercept is at \(x = 5\) and \(y=0\). So when \(y = 0\) (no hours watching television), \(x = 5\) (5 hours on the internet). So the x - intercept represents the number of hours Sam can spend on the internet when he spends 0 hours watching television.

Answer:

The x - intercept represents that when Sam spends 0 hours watching television, he can spend 5 hours on the internet. (Or more precisely, the x - intercept \((5,0)\) means Sam can use the internet for 5 hours if he watches television for 0 hours, following the agreement.)