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# Modeling with multiple variables: Ice cream

Modeling the relationship between three quantities (or more) isn't that different from modeling the relationship between two quantities. Here is an example of a model that relates different quantities related to two people walking to the same ice cream shop. Created by Sal Khan.

## Want to join the conversation?

• Ben and Jerry... anyone else get the reference?
• Can't you also model it this way. Distance(x)-(rate over time)t=Distance(y)-(rate over time)t.
• The problem requests for the answer to be given in terms of distance x, distance y, speed v and speed 5.

Your model is true and can be derived:

v = d/t
vt = d
0 = d - vt

Because the problem doesn't provide t we have to rearrange the terms until only what we were given remains:

v = d/t
vt = d
t = d/v