Question

Catapult LaunchIn this activity, you will write and solve a system of linear equations given two tables of data. You will then analyze the solution of the system to draw a conclusion.Part AWhile building his catapult, Aiden tested several different designs. He varied the arm length of his catapult and recorded the horizontal distance between where the ball was launched and where it landed for each arm length.The table presents Aiden’s data showing the length of the catapult arm in relation to the horizontal distance the catapult-launched the tennis ball.Length of Catapult Arm (cm)Horizontal Distance (cm)6032080352.4100386.860288.17031575322903621003908535095398Use the graphing tool to determine the line of best fit for Aiden’s data.QuestionWhat is the equation of the line of best fit for Aiden’s data?Enter the correct answer in the box by replacing m and b in the equation. Round each number to the nearest tenth.

Answer 1

Use the graphing tool to determine the line of best fit for Aiden’s data.

Uisng a desmos graphing or calculator:



The equation of the line of best fit for Aiden’s data

$\begin{gathered} y=mx+b \\ y=0.389x+(-54.37) \\ y=0.389x-54.37 \end{gathered}$

From the graph , the value of m = 0.4 (nearest tenth) and = 54.4 (nearest tenth)