Question

agent hunt transferred classified files from the cia mainframe onto his flash drive. the flash drive already had 60 megabytes on it before the transfer, and an additional 4 megabytes were transferred onto it each second. graph the relationship between the size of the files on agent hunts drive (in megabytes) and time (in seconds).

Explanation:

Step1: Define variables and equation

Let $t$ = time (seconds), $S$ = total size (megabytes). The relationship is linear:
$$S = 60 + 4t$$

Step2: Find initial point (t=0)

At $t=0$, substitute into the equation:
$$S = 60 + 4(0) = 60$$
This gives the point $(0, 60)$.

Step3: Find a second point (e.g., t=55)

At $t=55$, substitute into the equation:
$$S = 60 + 4(55) = 60 + 220 = 280$$
This gives the point $(55, 280)$, matching the plotted points.

Step4: Graph the linear relationship

Draw a straight line through $(0, 60)$ and $(55, 280)$, extending it to show the relationship for all non-negative $t$.

Answer:

The correct graph is a straight line starting at the point $(0, 60)$ (y-intercept) and passing through $(55, 280)$, with a positive slope of 4, representing the linear relationship $S = 60 + 4t$ where $S$ is the total file size in megabytes and $t$ is time in seconds.