NolanC428829 NolanC428829
  • 03-11-2022
  • Mathematics
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write an equation to describe the relationship between t the time and d distance

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

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DalayzaF724657 DalayzaF724657
  • 03-11-2022

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:

[tex]\begin{gathered} k=\frac{t}{d} \\ k=\frac{10}{7}=\frac{15}{10.5}=\frac{20}{14} \\ t=\frac{10}{7}d \end{gathered}[/tex]

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

[tex]t=\frac{10}{7}d[/tex]

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