Rates of Change, SMB-002

It is known that at a constant speed, the distance travelled in kilometres `(d)` is directly proportional to the time of travel in hours `(t)`, or `d prop t`.

If `d=75` when `t=5`, calculate the constant of variation `k`. (2 marks)

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In the context of this question, what does the value of `k` represent? (1 mark)

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Show Answers Only

i. `k=15`

ii. `text{Speed}`

Show Worked Solutions

i. `d prop t`

`d=kt`

`text(Find)\ k\ text{given}\ d=75\ text{when}\ t=5:`

`75`	`=k xx 5`
`:. k`	`=75/5`
	`=15`

ii. `k\ text{represents the speed.}`