5.Suppose you place strips of duct tape on the floor at evenly spaced intervals, and you walk along, collecting data on the number of strips of duct tape you pass and the time (in seconds). Your movement follows a quadratic function: d = 0.228t2 + 1.588t -0.354 where d is the number of strips of duct tape and t is the time (in seconds). How long (in seconds) does it take you to reach a distance of 24 strips of duct tape?

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: