The cost ( c )of playing an online computer game for a time ( t )in hours is given by the equation c = 3 t + 7. Label the horizontal axis t and the vertical axis c , and graph the equation for nonnegative values of t .

Question

Quizplus · Accepted Answer

The graph should have nonnegative values of t, which means t cannot be negative. Therefore, the graph should only include points in the first quadrant (where both t and c are positive).
When t = 0, c = 7, which is the y-intercept.
When t = 1, c = 10.
When t = 2, c = 13.
We can continue this pattern and plot the points on a coordinate plane to create a line.
The graph should have a positive slope since the cost increases as the time increases. 
Therefore, the graph should look like a line that starts at (0,7) and goes up and to the right. 
Looking at the choices, only graph C satisfies these conditions.

The Cost ( C )Of Playing an Online Computer Game