Question

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.​

Answer 1

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.

$\sf{\rightarrow{d = kt}}$

$\sf\rightarrow{20 = 2k }$

$\sf\rightarrow{K= \frac{20}{2} }$

$\sf\rightarrow{K={\color{magenta}{10}}}$

Answer:-

• Therefore, the constant of variation is 10.