Question

write an equation to describe the relationship between t the time and d distance

Answer 1

1) Examining the tables we can gather the following points

(t, d)

(10, 7)

(15, 10.5)

(20, 14)

2) So we can see that there is a proportional relationship if we divide the time by the distance. So we can write the constant k as:

$\begin{gathered} k=\frac{t}{d} \\ k=\frac{10}{7}=\frac{15}{10.5}=\frac{20}{14} \\ t=\frac{10}{7}d \end{gathered}$

3) So the equation that describes the relationship between the time and the distance is:

$t=\frac{10}{7}d$