Final answer:
The equation of the line representing the total height of the stack of tape rolls is y = 15x, where y is the height and x is the number of rolls.
Step-by-step explanation:
To find the equation of the line representing the total height of the stack of tape rolls, we can use the information given. We know that one roll of tape is 2.5 cm high and when 8 rolls are stacked, the total height is 120 cm. The equation for the line can be written as y = mx + b, where y represents the total height, x represents the number of rolls, m represents the slope of the line, and b represents the y-intercept. In this case, the slope can be calculated as the change in height divided by the change in the number of rolls: m = (120 - 0) / (8 - 0) = 15. The y-intercept can be determined by substituting the values of a point on the line into the equation and solving for b. Let's use the point (0, 0) since that represents the starting point of the stack. Plugging in these values, we get 0 = 15(0) + b, which simplifies to b = 0. Therefore, the equation of the line is y = 15x.