Question

Write and solve a system of equations made up of Aiden's and Natalie's lines of best fit that they can use

Answer 1

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Given the equations:

Aiden: y = 2.3x + 160.7

Natalie: y = 3.6x + 202.6

For their tennis balls to cover the same distance:

2.3x + 160.7 = 3.6x + 202.6

1.3x = -41.9

x = -32.3

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

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