Question

?Eric conducted an experiment in his science class and recorded the data in a table.

Answer 1

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

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