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Sally is going on a vacation with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write an equation that represents how far they will travel, d, in h hours

Respuesta :

Let d= distance in miles

Let h= time in hours

45.25h= d

Answer:

[tex]d=45.25h[/tex]

Step-by-step explanation:

This constant motion is represented by:

[tex]d=st[/tex]

Where [tex]d[/tex] is distance, [tex]s[/tex] is speed and [tex]t[/tex] is time.

We know that in 2 hours they travel 90.5 miles, this gives us a speed of:

[tex]s=\frac{d}{t}=\frac{90.5}{2}mi/hr=45.25mi/hr[/tex]

But, the problem is asking for a general expression:

[tex]d=st\\d=\frac{90.5}{2}t\\ d=45.25h[/tex]

Therefore, they travel a distance [tex]d[/tex] in [tex]h[/tex] hours, according to the expression

[tex]d=45.25h[/tex]

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