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The distance d that a car can travel in a certain amount of time t can be found by multiplying the rate of speed r by the travel time. If a car has already travel 4 miles, the formula for the total distance travel is d= rt + 4. Which of the following gives the value of r, in terms of d and t?

Respuesta :

Answer:[tex]r=\frac{d-4}{t}[/tex]

If the formula of the the total distance travel is:

[tex]d=rt+4[/tex]    (1)

And we want to know the value of [tex]r[/tex] in terms of [tex]d[/tex] and [tex]t[/tex], we have to clear [tex]r[/tex] from equation (1):

[tex]d-4=rt[/tex]    

[tex]r=\frac{d-4}{t}[/tex]>>>>This is the value of [tex]r[/tex]

Answer:

[tex]r=\dfrac{d-4}{t}[/tex]

Explanation:

The formula for the total distance travel is

[tex]d=rt+4[/tex]

We need to find the value of r, in terms of d and t.

Subtract 4 from both sides.

[tex]d-4=rt+4-4[/tex]

[tex]d-4=rt[/tex]

Divide both sides by t to find the value of r.

[tex]\dfrac{d-4}{t}=\dfrac{rt}{t}[/tex]

[tex]\dfrac{d-4}{t}=r[/tex]

Interchange both sides.

[tex]r=\dfrac{d-4}{t}[/tex]

Therefore, the value of r, in terms of d and t is [tex]r=\dfrac{d-4}{t}[/tex].

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