Time Since Starting to Walk (seconds) 3 6 9 12 15 Total Distance Walked (feet) 12 24 36 ? 60

Melanie is walking at a constant speed. The total distance she walked at various times since she started is shown in the table.

Question:

A. After 3 seconds, what is the ratio of the total distance Melanie has walked in feet to the time she has been walking in seconds?

B. Plot the points from the table on a coordinate plane. Is the ratio of the total distance Melanie has walked in feet to the time she has been walking in seconds always the same, or does it vary? Justify your answer.

C. What is the missing value in the table, and why?

(add additional information below)

Answer and explanation:

Geometary software is merely a software implementation of solving the area of a triangle. Therefore geometry software employs all the methods used in coordinate algebra(manual) albeit behind the scenes, in the console of the software, and just displays the area in the screen after solving. While geometry software displays the area using automated methods in code, coordinate algebra solves area of the triangle manually using several steps. In both cases, we observe that algebra is required to solve area of the triangle as it is part of the algorithm used in the code for the geometry software. Also being able to use the geometry software requires that one understand coordinate algebra to be able to plot lines, points and planes at the correct locations on the screen and get desired result.