The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t).

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Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll ask and answer possible questions that emanate from the given parameter.

A possible question is: Write the given information as a function of distance.

We have that;

[tex]Base\ Distance = 200[/tex]

[tex]Time = t[/tex]

[tex]Rate = r[/tex]

The function would be calculated as:

Base Distance + Rate * Time

Substitute values for Base Distance, Rate and Time

This gives:

[tex]200 + r * t[/tex]

[tex]200 + rt[/tex]

Hence;

[tex]Distance = 200 + rt[/tex]

Another possible question is to determine the current distance travelled by the family at a rate of 80 miles per hour for 3 hours.

Here, we have:

[tex]r = 80[/tex]

[tex]t = 3[/tex]

Substitute these values in [tex]Function = 200 + rt[/tex]

[tex]Distance = 200 + 80 * 3[/tex]

[tex]Distance = 200 + 240[/tex]

[tex]Distance = 440[/tex]