Respuesta :
The equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles
How are time taken for travel, distance traveled, and the average speed are related?
We have this below shown relation between them
[tex]\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }[/tex]
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we take:
- Distance from Hartford to Baltimore = d miles
- Time it takes for Dennis to drive from Hartford to Baltimore = t hours
- Average speed of Dennis in the considered drive = s miles per hour.
Then, we get:
[tex]s = \dfrac{d}{t}\\\\d = s \times t \: \rm miles[/tex]
Thus, the equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles
Learn more about forming equations here:
https://brainly.com/question/11938672
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