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2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.​

2 The table below shows that the distance d varies directly as the time t Find the constant of variation and the equation which describes the relation class=

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Briones11

Problem Solving:-

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

Solution:-

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

[tex]\sf{\rightarrow{d = kt}}[/tex]

[tex] \sf\rightarrow{20 = 2k }[/tex]

[tex] \sf\rightarrow{K= \frac{20}{2} }[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{10}}}[/tex]

Answer:-

  • Therefore, the constant of variation is 10.

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