Catapult Launch
In 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 A
While 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)
60 320
80 352.4
100 386.8
60 288.1
70 315
75 322
90 362
100 390
85 350
95 398

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

Question
What 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.

The equation of line of best fit is y = 2.3033 x + 160.71.

Step-by-step explanation:

The kine of best fit for the provided data can be computed in Excel.

Step 1:

Enter the data.

Step 2:

Select the entire data.

Go to Insert - Charts - Scatter

The scatter plot will be displayed.

Step 3:

Select the graph.

Go to Design - Quick Layout - Layout 9.

The line of best fit will be displayed on the graph.

The scatter plot and the line of best fit for Aiden’s data is shown below.

The equation of line of best fit is:

y = 2.3033 x + 160.71

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°