The graph below represents the distance Tommy ran (in miles) with respect to his time (minutes). Find a linear equation that represents this data.A) D = 1tB) D = 5tC) D = 9tD) D = 1 5t

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28-10-2022
Mathematics

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The graph below represents the distance Tommy ran (in miles) with respect to his time (minutes). Find a linear equation that represents this data.A) D = 1tB) D = 5tC) D = 9tD) D = 1 5t

Answer :

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KenzlynnR297743 KenzlynnR297743 · Answer 1 · 2022-10-28T18:21:04-04:00

Set D to be the distance in miles and t the time in minutes. Notice that the graph goes across (0,0) and (15,3); thus, the equation of the line is given by the formula below

[tex]\begin{gathered} (x_1,y_1),(x_2,y_2) \\ \Rightarrow y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1) \end{gathered}[/tex]

In our case,

[tex]\begin{gathered} (0,0),(15,3) \\ \Rightarrow D-0=(\frac{3-0}{15-0})(t-0) \\ \Rightarrow D=\frac{3}{15}t=\frac{1}{5}t \\ \Rightarrow D=\frac{1}{5}t \end{gathered}[/tex]

The graph below represents the distance Tommy ran (in miles) with respect to his time (minutes). Find a linear equation that represents this data.A) D = 1tB) D = 5tC) D = 9tD) D = 1 5t

Answer :

The answer is D=(1/5)t

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